In Example 2(a), can I simplify 5x 2(c), can I solve (x first step? = 20x by dividing both sides by x? In Example 7)(x + 5) = -20 by using the zero-product principle in the

Q: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: 10. Solve for x: x = Vx +7- 5 11. Factor completely: 6x2 – 2z – xz +12x | 12. Rationalize the…

A: Solve the following

Q: If a quadraticequation has two distinct real roots, what does this say about its discriminant?

A: correct ans is C. for real and district root,discriminant must be graterthan zero.

Q: i have a question about the step by step of 0= -x2+4x-5 using the quadratic formula

A: Consider the quadratic equation, -x2+4x-5=0 To solve the given equation,…

Q: (3) If a projectile is launched into the air at 29.4 feet per second from aheight of 60 feet, its…

A: 3. given that                                                         u=29.4 feet per secondh=60…

Q: The solution of the quadratic equation 5æ² + 5æ + 2 = 0 are. O -5+ V5 20 O -5+ V5 15 O -5+ V5 10 O…

A:

Q: Solve of AABC. 2. ABCD is a square of side 6 cm. If a rectangle of length (2x- 1) cm and width (x +…

A: Area

Q: 4. x-2x+1= 3

A:

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

A:

Q: - Solve the quadratic equation using appropriate method. x² - 81 = 0 2. x² +5x +6=0 3. 2x2 4x+3=0

A: Here we have to solve the quadratic equation.

Q: One factor of x^2+bx+15 is x−3

A:

Q: The profit function,in dollars, for a product is given by  Π(x) = −x^3 + 76x^2 − 380x − 2800, where…

A: (a) Consider the provided profit function,

Q: The number of tickets sold each day for an upcoming performance of​ Handel's Messiah is given by…

A: N(x) = -0.5x2+11x+14    , x is in days

Q: Explain, . the process of completing the square on a quadratic function with leading coefficient 1,…

A: x2+bxMultiply and divide 'bx' term by 2x2+2bx2=x2+2b2x

Q: In a study to determine the effect of vehicle weight in tons (x1) and engine displacement in in³…

A:

Q: 1. Factor completely. a. 64t² – 49r2 b. т? — 6т —16 с. x² + x – 20 - - -

A: Factorization:- Factorization or factoring consists of writing a number or another mathematical…

Q: What is the equation whose roots are reciprocal of the roots of the equation of 2x2 + 5x + 2 = 0?

A:

Q: One zero of x3 – 4x = 0 is 0. What are the other zeros?

A:

Q: The most efficient technique for solving (2x + 7)2 = 25 is by using________.

A:

Q: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 3212 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

A: The standard form of a quadratic equation is  ax 2+bx+c=0

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

A:

Q: In the process of solving 2x3+7x2+9x+10=0, you test 1, 2, 5, and 10 as possible zeros and determine…

A: Given 2x3+7x2+9x+10

Q: The profit function, in dollars, for a product is given byΠ(x) = −x^3 + 76x^2 − 380x − 2800,where x…

A:

Q: The profit function,in dollars,for a product is given by Π(x) = −x3 + 76x2 − 380x− 2800, where x is…

A:

Q: The solution of the quadratic equation 5x2 + 6x +1=0 are -6+ v21 10 -6+ v26 20 O -6+ V16 10 O -6 +…

A: Roots of the quadratic equation

Q: If x=9 is a solution to a polynomial equation, then (x-9) will be a factor a that polynomial

A: The given statement is true.

Q: 8) A soft-drink vendor at a popular beach analyzes his sale records and finds that if he sells x…

A:

Q: 19. What is the largest possible value of the quadratic form 5x + 8x3 if x = (x1, x2) and x"x = 1,…

A: We use the fact mentioned in solution.

Q: equations. In which for the equation of 2x^4-5x^3+10x^2-9=0 which is not a possible solution given…

A:

Q: Show that If 2 is a root of  kx4 - 11x3 + kx2 + 13x + 2 Then K = 3

A: Given,          2 is a root of kx4-11x3+kx2+13x+2 then k=3.

Q: quadratic

A:

Q: 20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 +…

A: What is the largest value of the quadratic form9x12+7x22+11x32-8x1x2+8x1x3if xTx=1.

Q: Select all the quadratic equations.   7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x + 6y = 42 x2 - 4y2 =…

A:

Q: What is the possible roots of 3x⁵-6x³-2x² + 8x - 5 = 0? - What is the only rational root of the…

A:

Q: The solutions of the quadratic equation 3z2 = 4x 17 are, O -4+v-137 -4+V-86 9. O 4+v-188 6. O -4+v-…

A:

Q: The square on quadratic equation  1/3 x2 - 4x + 16

A:

Q: In 1993​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

Q: 19. What is the largest value of the quadratic form 5(x,)? - 3(x2)² if x²x = 1. 20. What is the…

A:

Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root.…

A:

Q: 6. Determine the equation of the quadratics with x-intercepts of 2 and -2 and a y- intercept of-6.

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: Given equation is :   P(x)=45*x-0.25*x2 We know , for a parabola  f(x)=a*x2+b*x+c , the coordinates…

Q: Write the quadratic formula root [-6+v6? – 4ac]/(2a) in a form so that there are no serious problems…

A: Given: The quadratic formula root, -b+b2-4ac2a b is positive and very large compared to ac. Find:…

Q: What is the largest possible value of the quadratic form 5x} + 8x} if x = (x1,x2) and x"x = 1, that…

A:

Q: 5. Algebraically find the x-intercepts of the quadratic function whose equation is y=x² – 4x – 6.…

A:

Q: Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What…

A: Consider the given equation 3x2+5x=6. The general form of a quadratic equation is ax2+bx+c=0, a≠0.…

Q: x2 – 4x – 8 = 0 -b+ vb2 – 4ac Quadratic formula 2a 2 4

A:

Q: Find all real solutions of the equation.

A: Given: The equation is xx+3 =2x-3 -1x2-9 .