Question

How do you factor and solve `x^2 - 10x = -16`?

Answer 1

`(x-8)(x-2)= 0`
`x=8 or x=2`

Explanation:

Make quadratic equations equal to 0.

`x^2 -10x +16 =0" find factors of 16 which add up to 10"`

The signs are the same, they are both minus.

`(x-8)(x-2)`

Either factor can be equal to 0.
`x-8 = 0, rArr x = 8`
`x-2 = 0, rArr x=2`