kristine275 kristine275

13-04-2021
Mathematics

contestada

given that 4x^2-32x-20+k is a perfect square find k

Respuesta :

mhanifa mhanifa

13-04-2021

Answer:

k = 20

Step-by-step explanation:

Perfect square identity:

(a + b)² = a² + 2ab + b²

Completing the square:

4x² - 32x - 20 + k =
(2x)² - 2*2x*8 + 8² - 20 + k =
(2x - 8)² - (20 - k)

In order the given to be a perfect square, we need:

20 - k = 0
k = 20

Answer Link

Otras preguntas

Jenna constructs the model to represent 3x2 + 11x – 4. What factors does Jenna need to model for the sides? (3x + 1) and (x – 4) (3x – 1) and (x + 4) (3x – 2

Find an equation of the line through the given pair of points. (-7.-9) and (-2,-6)

Select all of the coefficients in the expression. 12xy^3 + 2x^5y + 4x^5y^2 + 7x^5y. A. 2 B. 3 C. 4 D. 5 E. 7 F. 12

Louise mowed a neighbor's yard to earn $25. She mowed a few more yards and earned an additional $75. She continued to mow all of the yards each week for a total

Simplify the expression -4+11

How to simplify 4x^5•3x

What is the equation of the following graph?

Describe the steps that occur in the process of fission.

MARKING AS BRAINLIEST !! using tbe railroad method, please convert to cgs !

If a=3 cm, c=15 cm, find b in the following right triangle