Elementary Algebra 17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: Lynn Marecek, MaryAnne Anthony-Smith
1 Foundations 2 Solving Linear Equations And Inequalities 3 Math Models 4 Graphs 5 Systems Of Linear Equations 6 Polynomials 7 Factoring 8 Rational Expressions And Equations 9 Roots And Radicals 10 Quadratic Equations Chapter10: Quadratic Equations
10.1 Solve Quadratic Equations Using The Square Root Property 10.2 Solve Quadratic Equations By Completing The Square 10.3 Solve Quadratic Equations Using The Quadratic Formula 10.4 Solve Applications Modeled By Quadratic Equations 10.5 Graphing Quadratic Equations Chapter Questions Section: Chapter Questions
Problem 213RE: In the following exercises, solve using the Square Root Property. 213. x2=100 Problem 214RE: In the following exercises, solve using the Square Root Property. 214. y2=144 Problem 215RE: In the following exercises, solve using the Square Root Property. 215. m240=0 Problem 216RE: In the following exercises, solve using the Square Root Property. 216. n280=0 Problem 217RE: In the following exercises, solve using the Square Root Property. 217. 4a2=100 Problem 218RE: In the following exercises, solve using the Square Root Property. 218. 2b2=72 Problem 219RE: In the following exercises, solve using the Square Root Property. 219. r2+32=0 Problem 220RE: In the following exercises, solve using the Square Root Property. 220. t2+18=0 Problem 221RE: In the following exercises, solve using the Square Root Property. 221. 43v2+4=28 Problem 222RE: In the following exercises, solve using the Square Root Property. 222. 23w220=30 Problem 223RE: In the following exercises, solve using the Square Root Property. 223. 5c2+3=19 Problem 224RE: In the following exercises, solve using the Square Root Property. 224. 3d26=43 Problem 225RE: In the following exercises, solve using the Square Root Property. 225. (p5)2+3=19 Problem 226RE: In the following exercises, solve using the Square Root Property. 226. (q+4)2=9 Problem 227RE: In the following exercises, solve using the Square Root Property. 227. (u+1)2=45 Problem 228RE: In the following exercises, solve using the Square Root Property. 228. (z5)2=50 Problem 229RE: In the following exercises, solve using the Square Root Property. 229. (x14)2=316 Problem 230RE: In the following exercises, solve using the Square Root Property. 230. (y23)2=29 Problem 231RE: In the following exercises, solve using the Square Root Property. 231. (m7)2+6=30 Problem 232RE: In the following exercises, solve using the Square Root Property. 232. (n4)250=150 Problem 233RE: In the following exercises, solve using the Square Root Property. 233. (5c+3)2=20 Problem 234RE: In the following exercises, solve using the Square Root Property. 234. (4c1)2=18 Problem 235RE: In the following exercises, solve using the Square Root Property. 235. m26m+9=48 Problem 236RE: In the following exercises, solve using the Square Root Property. 236. n2+10n+25=12 Problem 237RE: In the following exercises, solve using the Square Root Property. 237. 64a2+48a+9=81 Problem 238RE: In the following exercises, solve using the Square Root Property. 238. 4b228b+49=25 Problem 239RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 240RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 241RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 242RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 243RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 244RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 245RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 246RE: In the following exercises, complete the square to make a perfect square trinomial. Then write the... Problem 247RE: In the following exercises, solve by completing the square. 247. c2+20c=21 Problem 248RE: In the following exercises, solve by completing the square. 248. d2+14d=13 Problem 249RE: In the following exercises, solve by completing the square. 249. x24x=32 Problem 250RE: In the following exercises, solve by completing the square. 250. y216y=36 Problem 251RE: In the following exercises, solve by completing the square. 251. r2+6r=100 Problem 252RE: In the following exercises, solve by completing the square. 252. t212t=40 Problem 253RE: In the following exercises, solve by completing the square. 253. v214v=31 Problem 254RE: In the following exercises, solve by completing the square. 254. w220w=100 Problem 255RE: In the following exercises, solve by completing the square. 255. m2+10m4=13 Problem 256RE: In the following exercises, solve by completing the square. 256. n26n+11=34 Problem 257RE: In the following exercises, solve by completing the square. 257. a2=3a+8 Problem 258RE: In the following exercises, solve by completing the square. 258. b2=11b5 Problem 259RE: In the following exercises, solve by completing the square. 259. (u+8)(u+4)=14 Problem 260RE: In the following exercises, solve by completing the square. 260. (z10)(z+2)=28 Problem 261RE: In the following exercises, solve by completing the square. 261. 3p218p+15=15 Problem 262RE: In the following exercises, solve by completing the square. 262. 5q2+70q+20=0 Problem 263RE: In the following exercises, solve by completing the square. 263. 4y26y=4 Problem 264RE: In the following exercises, solve by completing the square. 264. 2x2+2x=4 Problem 265RE: In the following exercises, solve by completing the square. 265. 3c2+2c=9 Problem 266RE: In the following exercises, solve by completing the square. 266. 4d22d=8 Problem 267RE: In the following exercises, solve by using the Quadratic Formula. 267. 4x25x+1=0 Problem 268RE: In the following exercises, solve by using the Quadratic Formula. 268. 7y2+4y3=0 Problem 269RE: In the following exercises, solve by using the Quadratic Formula. 269. r2r42=0 Problem 270RE: In the following exercises, solve by using the Quadratic Formula. 270. t2+13t+22=0 Problem 271RE: In the following exercises, solve by using the Quadratic Formula. 271. 4v2+v5=0 Problem 272RE: In the following exercises, solve by using the Quadratic Formula. 272. 2w2+9w+2=0 Problem 273RE: In the following exercises, solve by using the Quadratic Formula. 273. 3m2+8m+2=0 Problem 274RE: In the following exercises, solve by using the Quadratic Formula. 274. 5n2+2n1=0 Problem 275RE: In the following exercises, solve by using the Quadratic Formula. 275. 6a25a+2=0 Problem 276RE: In the following exercises, solve by using the Quadratic Formula. 276. 4b2b+8=0 Problem 277RE: In the following exercises, solve by using the Quadratic Formula. 277. u(u10)+3=0 Problem 278RE: In the following exercises, solve by using the Quadratic Formula. 278. 5z(z2)=3 Problem 279RE: In the following exercises, solve by using the Quadratic Formula. 279. 18p215p=120 Problem 280RE: In the following exercises, solve by using the Quadratic Formula. 280. 25q2+310q=110 Problem 281RE: In the following exercises, solve by using the Quadratic Formula. 281. 4c2+4c+1=0 Problem 282RE: In the following exercises, solve by using the Quadratic Formula. 282. 9d212d=4 Problem 283RE: In the following exercises, determine the number of solutions to each quadratic equation. 283. (a)... Problem 284RE: In the following exercises, determine the number of solutions to each quadratic equation. 284. (a)... Problem 285RE: In the following exercises, identify the most appropriate method (Factoring, Square Root, or... Problem 286RE: In the following exercises, identify the most appropriate method (Factoring, Square Root, or... Problem 287RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 288RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 289RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 290RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 291RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 292RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 293RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 294RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 295RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 296RE: In the following exercises, solve by using methods of factoring, the square root principle, or the... Problem 297RE: In the following exercises, graph by plotting point. 297. Graph y=x22 Problem 298RE: In the following exercises, graph by plotting point. 298. Graph y=x2+3 Problem 299RE: In the following exercises, determine if the following parabolas open up or down. 299. y=3x2+3x1 Problem 300RE: In the following exercises, determine if the following parabolas open up or down. 300. y=5x2+6x+3 Problem 301RE: In the following exercises, determine if the following parabolas open up or down. 301. y=x2+8x1 Problem 302RE: In the following exercises, determine if the following parabolas open up or down. 302. y=4x27x+1 Problem 303RE: In the following exercises, find (a) the axis of symmetry and (b) the vertex. 303. y=x2+6x+8 Problem 304RE: In the following exercises, find (a) the axis of symmetry and (b) the vertex. 304. y=2x28x+1 Problem 305RE: In the following exercises, find the x- and y-intercepts. 305. y=x24x+5 Problem 306RE: In the following exercises, find the x- and y-intercepts. 306. y=x28x+15 Problem 307RE: In the following exercises, find the x- and y-intercepts. 307. y=x24x+10 Problem 308RE: In the following exercises, find the x- and y-intercepts. 308. y=5x230x46 Problem 309RE: In the following exercises, find the x- and y-intercepts. 309. y=16x28x+1 Problem 310RE: In the following exercises, find the x- and y-intercepts. 310. y=x2+16x+64 Problem 311RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 311.... Problem 312RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 312.... Problem 313RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 313.... Problem 314RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 314.... Problem 315RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 315.... Problem 316RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 316.... Problem 317RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 317.... Problem 318RE: In the following exercises, graph by using intercepts, the vertex, and the axis of symmetry. 318.... Problem 319RE: In the following exercises, find the minimum or maximum value. 319. y=7x2+14x+6 Problem 320RE: In the following exercises, find the minimum or maximum value. 320. y=3x2+12x10 Problem 321RE: In the following exercises, solve. Rounding answers to the nearest tenth. 321. A ball is thrown... Problem 322RE: In the following exercises, solve. Rounding answers to the nearest tenth. 322. A daycare facility is... Problem 323PT: Use the Square Root Property to solve the quadratic equation: 3(w+5)2=27 . Problem 324PT: Use Completing the Square to solve the quadratic equation: a28a+7=23 . Problem 325PT: Use the Quadratic Formula to solve the quadratic equation: 2m25m+3=0 . Problem 326PT: Solve the following quadratic equations. Use any method. 326. 8v2+3=35 Problem 327PT: Solve the following quadratic equations. Use any method. 327. 3n2+8n+3=0 Problem 328PT: Solve the following quadratic equations. Use any method. 328. 2b2+6b8=0 Problem 329PT: Solve the following quadratic equations. Use any method. 329. x(x+3)+12=0 Problem 330PT: Solve the following quadratic equations. Use any method. 330. 43y24y+3=0 Problem 331PT: Use the discriminant to determine the number of solutions of each quadratic equation. 331.... Problem 332PT: Use the discriminant to determine the number of solutions of each quadratic equation. 332.... Problem 333PT: Solve by factoring, the Square Root Property, or the Quadratic Formula. 333. Find two consecutive... Problem 334PT: Solve by factoring, the Square Root Property, or the Quadratic Formula. 334. The length of a... Problem 335PT: For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the... Problem 336PT: For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the... Problem 337PT: For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the... Problem 338PT: For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the... Problem 339PT: For each parabola, find (a) which ways it opens, (b) the axis of symmetry, (c) the vertex, (d) the... Problem 340PT: Graph the following parabolas by using intercepts, the vertex, and the axis of symmetry. 340.... Problem 341PT: Graph the following parabolas by using intercepts, the vertex, and the axis of symmetry. 341.... Problem 342PT: Solve. 342. A water balloon is launched upward at the rate of 86 ft/sec. Using the formula... Problem 332PT: Use the discriminant to determine the number of solutions of each quadratic equation. 332....
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Compute the value of the discriminant and give the number of real solutions of the quadratic equation .
Transcribed Image Text: Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
- 3x +x-3 = 0
Discriminant:
Number of real solutions:|
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
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