Question

What equation results from completing the square and then factoring? X^2+10x=15

Answer 1

12.24 is the correct answer

Answer 2

Left hand side is a perfect square trinomial

`x^2+10x +25=(x+5)(x+5)`

`(x+5)^2=40`

Explanation:

`x^2+10x=15`

In completing the square method, we take coefficient of x and divide it by 2 and then square it

coefficient of x is 10

10 divide by 2 is 5

`5^2 = 25`

Now we add 25 on both sides

`x^2+10x +25=15+25`

`x^2+10x +25=40`

Left hand side is a perfect square trinomial

`x^2+10x +25=(x+5)(x+5)`

`(x+5)(x+5)=40`

`(x+5)^2=40`