5. Which statement best explains why there is no real solution to the quadratic equation 2x +x+7=0? A) The value of 12-4+2•7 is positive. B) The value of l² – 4•2•7 is negative C) The value of 1² – 4+2•7 is equal to 0. D) The value of 1² – 4•2•7 is not a perfect square E) The value of 1² – 4•2•7 is a difference of squares

Q: Use the proof by cases to prove that there are no solutions in integers x and y to the equation 4x?…

A: Here we use the fact that x2≥0 and y2≥0 and will be square of some integers. So possible values of…

Q: What is true about Marcus's work? Check all that Marcus solved for x in the quadratic equation x2 –…

A:

Q: 4 3 2 Using the graph, find the solutions of the quadratic. -1.0 123 4 -1 (-2, [?]); ([ ], [ 1) -3…

A:

Q: 12. When should the quadratic formula be used to find the roots of a quadratic equation, ax²+bx+c=0?…

A:

Q: ind the values of a,b and c for which the quadratic equation ax^2 +bd+c=0 has the solution-5 and 3.…

A: Given, The quadratic equation ax2+bx+c=0 has the solution -5 and 3. Since, -5 and 3 are the…

Q: 1. Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

A: A quadratic equation is defined as ax2+bx+c=0 where a≠0, here a,b,c are arbitrary constants. Domain…

Q: 5. The equation m213 + 10m/3 + 9 = 0 is said to be in form, because making the substitution U =…

A: Definition used -         Equations reducible to quadratic equations -                 If an…

Q: Quadrilateral DCBA is a rectangle. IF DO = 4x - 30 and BO = 3x - 9. solve for x and the length of AC

A: In rectangle, diagonal bisect each other. So DO=BO 4x-30=3x-9 x=21 So BD=DO+BO      BD=7x-39   We…

Q: 11. Without solving, determine the number of real solutions for each quadratic equation. Show work.…

A: Given:- a) 5q²-3q-6=0 b) 3y²-5y +9=0  To find:- Number of real roots of given quadratic equations

Q: 20 y, you would add 11 In order to complete the square for y + After you add this, the perfect…

A:

Q: If a, b, c are integer powers of 2, prove that equation a + 64 = does not have solution, otherwise…

A: Given: Let a,b,c are integer powers of 2 .

Q: Use the quadratic formula to find a solution to 3 22 – 2z+6 = 0 22 Syntax hint: e.g. to enter 1 +…

A:

Q: A man with 200 ft. of fencing material wishes to fence off an area in the shape of a rectangle. What…

A: Given, Length of fencing =200 ft We have to find the dimension of the of rectangle such that its…

Q: 15. Use the quadratic formula to solve the equatic + 5x = 3 05 V13 2 O_5 V13 2 2 - O 2 V13 5 2 A O_…

A: Given:    - x2 + 5x = 3

Q: 니rat aort 25 4,2

A: Given,          4r2+20r+25

Q: Find out the discriminant of the quadratic equation 20x2+14x+20=0 using this definition

A: Given equation: 20x2+14x+20=0 Concept: Discriminant of a equation in the form ax2+bx+c=0 is given…

Q: 2a) would removing get from the resulant quadratic, equations roving get from the resulant…

A:

Q: Obtain the solution set of z* – j3z? – 2 = 0. (Hint: factoring and quadratic formula)

A:

Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, - then prove that the roots of x²…

A:

Q: 29. It is given that a and ß are the roots of the quadratic equation x2- px-5 = 0. Form a quadratic…

A:

Q: Prove that zero is a root for the equation ax' + bx² +cx+d = 0 if and only if d = 0. What can you…

A:

Q: 6. Which of the following is a perfect square trinomial? C. x2 + 10x + 20 D. x2 - 3x + 6 А. х? — 8х…

A:

Q: What is the maximum number of real distinct roots that a quartic equation can have? a) infinitely…

A: ## we want to find out that how many real distinct roots that a quartic equation can have.

Q: Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

A: step:-1 Statement:- The domain and range of a quadratic equation will be -∞,∞. 1. The domain of a…

Q: (a) If Q: R"R is a quadratic form, ex that O takes on

A: Given, Q : ℝn→ℝ is a quadratic from,

Q: 6. Find all the solutions of the quadratic 2x2 (a + 2b)x + ab = 0. |

A:

Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Given,a,b,c are integers of the form 2k, k∈Na3+b4=c5

Q: -termined coefficients were used. No need to actually compute the parti ne constants by plugging in.…

A: Given                                  x''-2x'+x=t2et

Q: 6. Show that the quadratic equation ax² + b – a = 0 (a± 0) has two distinct real roots.

A:

Q: Obtain the solution set of: z^4 - j3z^2 - 2 = 0 (Hint: factoring and quadratic formula)

A:

Q: 6 of 12 9.3b | Use the discriminant to predict the number of solutions of a quadratic equation Use…

A:

Q: 9] Using the discriminant, choose the pair(s) of integers that can be substituted into the equation…

A:

Q: (4) Show that in general the sum of the roots of a quadratic equation ax? + bx +e=0 b is --whereas…

A: Let u and v be the roots of a quadratic equation ax2+bx+c=0. To obtain the equation from the roots,…

Q: 16 20 Q 1. A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340…

A: Used the area =length *width

Q: Find the solutions that can be read from the simplex tableau. X₁ X2 X2 X3 X3 S1 9 0 7 5 0 6 2 1 0 -8…

A:

Q: A classic example of the quadratic equation in Babylonian mathematics is found on a tablet in the…

A: Step:- 1 a; b is way of writing number in Babylonian mathematics in base 60 to calculate this number…

Q: 7 - The roots of a quadratic equation are a and ß where a + B = - 3 and aß = -2 (a) Find a quadratic…

A: I am going to solve the given problem by using some simple algebra to get the reqired result.

Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, then prove that the roots of x²…

A:

Q: 6. Find all the solutions of the quadratic 2x² – (a + 2b)x + ab = 0.

A:

Q: Based on Netonis Lau, A stone 5 thown: 20m/s upwards from a 30 meters above river bridge h(t)= -5t?+…

A:

Q: -1] -4 6. 8. X2 %3D 10 12 14 X3 3. 2.

A:

Q: Solve for x in x² + 12 < 7x. а. b. Find all possible values of x if one of the interior angles of a…

A: Given query is to find the value of x .

Q: can you answer #3 and show work

A: the quadratic formula is x=(-b+-√(b^2-4ac))/2a. for part a see 2nd step and for part b see 3rd step.…

Q: How many real-number solutions are there to the quadratic equation 2x2 + 5x + 1 = 02 a. eslim b. 1…

A:

Q: 1. Use the worked example to write a quadratic equation that passes through.the points (-1, 5), (0,…

A:

Q: 2. Use the quadratic formula to find the roots of the equation: 5x - 4x +8 = 0. -4+ 12i 5. O x = 3…

A:

Q: 2. Given that x4 −2x3 −7x2 +8x+12 = 0 has the roots −1 and 2, find the quadratic equation whose…

A:

Q: 49. Find a quadratic equation with integer coefficients whose roots are the reciprocals of the roots…

A: The equation is 4x2-23x+15=0. Obtain its roots: 4x2-23x+15=04x2-20x-3x+15=04xx-5-3x-5=0x-54x-3=0…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.