# How do you solve #sqrt( 9x+81)= x+5#?

##### 1 Answer

Apr 26, 2016

7 and -8

#### Explanation:

Square both sides -->

Solve this quadratic equation by using the new Transforming Method (Socratic Search).

Find 2 numbers knowing sum (-1) and product (-56).

The roots have opposite signs because ac < 0.

Factor pairs of (-56) --> ...(-7, 8)(7, -8). This last sum is -1 = -b. Then, the 2 real roots are: 7 and -8.