Question

What are the roots of the equation x^2=5x+14 there are 2 of them show your work

Answer 1

The solutions are:
`x=7` or
`x=-2`.

Explanation:

The given equation is
`x^2=5x+14`

We rewrite in the standard quadratic form to obtain;

`x^2-5x-14=0`

We split the middle term with -7,2 because their product is -14 and their sum is -5.

`x^2-7x+2x-14=0`

Factor by grouping;

`x(x-7)+2(x-7)=0`

`(x-7)(x+2)=0`

Either
`(x-7)=0` or
`(x+2)=0`.

Either
`x=7` or
`x=-2`.