Question

How do you solve `x =sqrt { -3x+40}` and find any extraneous solutions?

Answer 1

x=5, -8

Explanation:

Square both sides to have `x^2= -3x+40`

Or, `x^2 +3x -40=0`

This can be factorised as (x+8)(x-5)=0

Solution is therefore x=5 , -8

There are no extraneous solution