SOLUTION: if x^2+1/x^2=38, find x^4+1/x^4

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Question 370649: if x^2+1/x^2=38, find x^4+1/x^4
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B1%2Fx%5E2=38. Square both sides to getx%5E4+%2B+2%2A%28x%5E2%29%2A%281%2Fx%5E2%29+%2B+1%2Fx%5E4+=+1444.
x%5E4+%2B+2+%2B+1%2Fx%5E4+=+1444,
or x%5E4++%2B+1%2Fx%5E4+=+1442.