SOLUTION: solve for y: 1/x=3(1/y^2+1/z^2)

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Question 610025: solve for y:
1/x=3(1/y^2+1/z^2)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve for y:
1/x=3(1/y^2+1/z^2)
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1%2F%283x%29+=+1%2Fy%5E2+%2B+1%2Fz%5E2
1%2Fy%5E2+=+1%2F%283x%29+-++1%2Fz%5E2
1%2Fy%5E2+=+%28z%5E2+-+3x%29%2F%283xz%5E2%29
y%5E2+=+3xz%5E2%2F%28z%5E2+-+3x%29
y+=+sqrt%283xz%5E2%2F%28z%5E2+-+3x%29%29
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Answer given is:
y=sqrt%281%2F%281%2F3x-1%2Fz%5E2%29%29
y=sqrt%281%2F%28%28-z%5E2+%2B+3x%29%2F3xz%5E2%29%29
y=sqrt%283xz%5E2%2F%28%283x-z%5E2%29%29%29
Same answer
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y=sqrt%283xz%5E2%2A%283x-z%5E2%29%29%2F%283x-z%5E2%29%29
y=z%2Asqrt%283x%2A%283x-z%5E2%29%29%2F%283x-z%5E2%29%29 is better