Question

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

Answer 1

Answer:

Left hand side is a perfect square trinomial

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

$(x+5)^2=40$

Step-by-step 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

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

$(x+5)(x+5)=40$

$(x+5)^2=40$

Answer 2

12.24 is the correct answer