SOLUTION: square root of x+7=square root of 2x-3 (+2) not under the square root)

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Question 729072: square root of x+7=square root of 2x-3 (+2) not under the square root)
Found 2 solutions by lynnlo, MathTherapy:
Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
X=507+338√2
≈985.0042

Answer by MathTherapy(10719) About Me  (Show Source):
You can put this solution on YOUR website!
square root of x+7=square root of 2x-3    (+2) not under the square root)
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I don't know what "X=507+338√2 ≈985.0042 from @lynnlo(4176) is all about.

square root of x+7=square root of 2x-3    (+2) not under the square root)
              sqrt%28x+%2B+7%29+=+sqrt%282x+-+3%29+%2B+2
            %28sqrt%28x+%2B+7%29%29%5E2+=+%28sqrt%282x+-+3%29+%2B+2%29%5E2 --- Squaring both sides
                x+%2B+7+=+2x+-+3+%2B+4sqrt%282x+-+3%29+%2B+4 
                x+%2B+7+=+2x+%2B+4sqrt%282x+-+3%29+%2B+1
         x+%2B+7+-+2x+-+1+=+4sqrt%282x+-+3%29
              -+x+%2B+6+=+4sqrt%282x+-+3%29
            %28-+x+%2B+6%29%5E2+=+%284sqrt%282x+-+3%29%29%5E2 ----- Squaring both sides
         x%5E2+-+12x+%2B+36+=+16%282x+-+3%29
         x%5E2+-+12x+%2B+36+=+32x+-+48
x%5E2+-+12x+%2B+36+-+32x+%2B+48+=+0
         x%5E2+-+44x+%2B+84+=+0
     (x - 42)(x - 2) = 0
      x - 42 = 0      OR     x - 2 = 0
           x = 42     OR         x = 2

However, x = 42 is an EXTRANEOUS solution, so ONLY solution is: x = 2