SOLUTION: find all the real fourth roots of 256/2401

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Question 420116: find all the real fourth roots of 256/2401
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4+=+256%2F2401 <==> x%5E4+-+256%2F2401+=+0
<==> %28x%5E2+-+16%2F49%29%28x%5E2+%2B+16%2F49%29+=+0
<==> %28x+-+4%2F7%29%28x+%2B+4%2F7%29%28x%5E2+%2B+16%2F49%29+=+0.
The real fourth roots of 256/2401 are 4/7 and -4/7. The other two roots are complex.