Respuesta :
x^2 - 8x = (x - 4)^2 - 16
we add 16 to give x^2 - 8x + 16 which is a perfect square
x^2 - 8x + 16 = (x - 4)^2
answer is 16
we add 16 to give x^2 - 8x + 16 which is a perfect square
x^2 - 8x + 16 = (x - 4)^2
answer is 16
Answer:
16 is added to complete the square
Step-by-step explanation:
[tex]x^2-8x[/tex]
We use completing the square method to complete the square.
In completing the square method, we take coefficient of x and then divide by 2 and square it
[tex]\frac{-8}{2} =-4[/tex]
[tex](-4)^2=16[/tex]
We add 16 to complete the square
[tex]x^2-8x+16[/tex]
[tex](x-4)(x-4)[/tex]
[tex](x-4)^2[/tex]
So, 16 is added to complete the square
