Question

What are the solutions to x2−10x=39? Question 4 options: 3 and -13 1 and -39 -1 and 39 -3 and 13

Answer 1

`x=-3,13`

Explanation:

Given:
`x^2-10x=39`

To find: solutions of the given equation

Solution:

`x^2-10x=39\\x^2-10x-39=0`

Write
`-10=-13+3`

Therefore,

`x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13`

So, solutions of the given equation are
`-3` and
`13`.