SOLUTION: solve: {{{sqrt((x^2+1))+8/sqrt(x^2+1) = sqrt(x^2+9)}}}

Algebra ->  Radicals -> SOLUTION: solve: {{{sqrt((x^2+1))+8/sqrt(x^2+1) = sqrt(x^2+9)}}}       Log On


   

Question 563798: solve:
sqrt%28%28x%5E2%2B1%29%29%2B8%2Fsqrt%28x%5E2%2B1%29+=+sqrt%28x%5E2%2B9%29

Answer by friesr(113) About Me  (Show Source):
You can put this solution on YOUR website!

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square
%28x%5E2%2B9%29%2F%28x%5E2%2B1%29+=+x%5E2%2B9
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multiply by denominator
x%5E4%2B18x%5E2%2B81+=+%28x%5E2%2B9%29%28x%5E2%2B1%29
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x%5E4%2B18x%5E2%2B81+=+x%5E4%2B10x%5E2%2B9
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set equal to zero
8x%5E2%2B72+=+0
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8x%5E2+=+-72
x%5E2+=+-9
x+=+3i or x=+-3i