Question

What number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Answer 1

You take half the coefficient of the x term and then square it and then add it to both sides.

`x^2- 10x = 7`

`<span>(x^2-10x +25)=7+25[</span>`
`(x^2-10x +25)=32`

`(x-5)^2=32`
In your case, 25 should be added to both sides complete the square

Answer 2

we have

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

Complete the square. Remember to balance the equation by adding the same constants to each side

to complete the square adds
`(10/2)^(2)=25` both sides

so

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

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

Rewrite as perfect squares

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

Square root both sides

`x-5=(+/-)√(32)`

`x=5(+/-)√(32)`

`x1=5+√(32)`

`x2=5-√(32)`

therefore

the answer is

The number is
`25`