Question

How do you find the roots of `x^2+5x-14=0`?

Answer 1

`x=-7` or `x=2`

Explanation:

Find a pair of factors of `14` which differ by `5`.

The pair `7, 2` works, so we find:

`0 = x^2+5x-14 = (x+7)(x-2)`

Hence roots `x=-7` and `x=2`