# How do you solve #sqrt(8-x)=x+6# and identify any restrictions?

##### 1 Answer

May 27, 2017

#### Answer:

The right side cannot be negative and neither can the argument of the radical.

Square both sides.

Solve the quadratic.

Discard any roots that violate the restrictions.

#### Explanation:

The restrictions are that the right side cannot be negative and the same for the argument of the radical:

Combining them:

Add this restriction to the given equation:

Square both sides:

Combine like terms:

Use the quadratic formula:

The negative root us outside the restriction, therefore, we discard it: