Question

What number should be added to both sides of the equation to complete this square? x^2-10x=7

Answer 1

The number is 25

Explanation:

we have

`x^(2) -10x=7`

we know that

`10/2=5`

so

Adds
`5^(2)` both sides

`x^(2) -10x+5^(2)=7+5^(2)`

`x^(2) -10x+25=7+25`

`x^(2) -10x+25=32`

Rewrite as perfect squares

`(x-5)^(2)=32`