Question 242380
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sqrt{x + 8} = -3

We have a radical equation here.

(sqrt{x + 8})^2 = (-3)^2

x + 8 = 9

x = 9 - 8

x = 1

We must check to make sure that our answer for x satisfies the radical equation given to you.

In other words, it must have the same answer on both sides to satisfy the original radical equation.

So, let x = 1 and simplify.

sqrt{1 + 8} = -3

sqrt{9} = -3

3 = -3

Since we get different answers on both sides of the equation, the answer is NO SOLUTION.