SOLUTION: If xy = 3, xz = 4, and yz = 6, Find the value of x^2 + y^2 + z^2 .

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Question 254122: If xy = 3, xz = 4, and yz = 6, Find the value of x^2 + y^2 + z^2 .
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
If xy = 3, xz = 4, and yz = 6, Find the value of x^2 + y^2 + z^2

yz=6, so z=6%2Fy, plug that in

xz=4 and get x%286%2Fy%29=4 or 6x%2Fy=4 or 6x=4y or y=6x%2F4=3x%2F2

Plug that in xy=3

x%283x%2F2%29=3, or 3x%5E2%2F2=3 or 3x%5E2=6 or x%5E2=2

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xy=3, so x%5E2y%5E2=9 so y%5E2=9%2Fx%5E2=9%2F2

xz=4, so x%5E2z%5E2=16 so z%5E2=16%2Fx%5E2=16%2F2=8

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x%5E2%2By%5E2%2Bz%5E2=2%2B9%2F2%2B8=4%2F2%2B9%2F2%2B16%2F2=29%2F2

Edwin