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

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