Question

If 8x = x 2 + 15, then which of the following can be used to find x?

Answer 1

Answer:

The step used (x-5)(x-3)=0

C is correct

Step-by-step explanation:

Given: $8x=x^2+15$

We need to factor it.

First we move all term same side and then we factor is.

$x^2-8x+15=0$

Now we split middle term

$x^2-5x-3x+15=0$

Make group and factor each group

$(x^2-5x)+(-3x+15)=0$

$x(x-5)-3(x-5)=0$

$(x-5)(x-3)=0$

Hence, The step used (x-5)(x-3)=0

Answer 2

Move 8x to the right
0=x^2-8x+15

Then factor
(x-5)(x-3)

Final answer: C