How do you factor x212x18=0?

1 Answer
Apr 22, 2018

The solution is x=6±32

and hence the factorization is
(x+632)(x+6+32))=0

Explanation:

x212x18=0
x2+12x+18=0

Using the quadratic formula,

x=b±b24ac2a

x=12±144722×1

x=12±722

x=12±622

x=6±32

These are the solutions when x212x18=0

The factorization can be written in the form (xa)(xb) where a and b are the solutions, also known as zeros.

(x(6+32))(x(632))=0

(x+632)(x+6+32))=0