Question

What is the value of z which makes the expression x2 - 16x + x equivalent to ( x- 8 ) 2

Answer 1

x=64

Explanation:

* change equivalent to to = *

now we have x² - 16x + x = (x-8)²

step 1 simplify both sides

(x)²=x²

-8x*2=16x

8=64

-16x + x = 15x

now we have x² -15x = x² - 16x + 64

step 2 subtract x² from each side

x² -x² = 0

x² - x² cancels out

now we have -15x = -16x + 64

step 3 add 16x to each side

-15x + 16x = x

-16x + 16x cancels out

we're left with x = 64