SOLUTION: Find the real solutions of the radical equation. sqrt{(10+ 3•sqrt{x})} = sqrt{x} Note: (10 + 3•sqrt{x}) lies inside a bigger radicand.

Question 1208839: Find the real solutions of the radical equation.

sqrt{(10+ 3•sqrt{x})} = sqrt{x}

Note: (10 + 3•sqrt{x}) lies inside a bigger radicand.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!



Square both sides



Isolate the square root term



Square both sides





Factor the right side:



x-25=0;   x-4=0
   x=25;    x=4

Check each potential solution in the original equation:











So one solution is x = 25     <--ANSWER

Checking x=4









   <--FALSE!

So 4 is NOT a solution.

The only solution is x = 25

Edwin

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