SOLUTION: 2 square root 1-3x-square root x+17=0

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Question 303098: 2 square root 1-3x-square root x+17=0
Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
Add sqrt{x + 17} to both sides.
We now have 2(sqrt{1 - 3x}) = sqrt{x + 17}.
We now square both sides to remove the radicals.
[2(sqrt{1 - 3x})]^2 = [sqrt{x + 17}]^2.
After doing the math on paper, I got x = -1 as the answer.
How do we know if this is right?
Replace every x that you see in the original radical equation given and simplify.
If you get the same answer on both sides of the equation, then you will know for sure.
I did excatly that and found out that x does = -1.

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