Question

What value is added to both sides of the equation x2 - 8x = -10 in order to solve by completing the square?

Answer 1

We add :
\[\left(\frac82\right)^2\]
In general we complete :
\[x^2+ax=b\]
to the square by adding :
\[\left(\frac a2\right)^2\]
to the both sides, so we get :
\[x^2+ax+\left(\frac a2\right)^2=b+\left(\frac a2\right)^2\]
So :
\[\left(x+\frac a2\right)^2=b+\left(\frac a2\right)^2\]

Answer 2

So is the answer 4? @Noura11

Answer 3

Actually 16?

Answer 4

Yes, it is 16 ;)

Answer 5

Thank you much, I'm going to give you a mental for helping me. haha