Q6.If X2 + y2 + z2=40 and xy + yz + zx=x+y+z is equal to
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Hello Friend
Hope this helps you
Your Question framing is wrong
x+y+z)^2 = x^2 + y^2 + z^2 + 2 (xy + yz + zx)
100 = 40 + 2 (xy+yz+zx)
xy + yz + zx = 30
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Answered by
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( x + y + z) = 10
JUST SQUARE BOTH SIDES
( x^2 + y^2 + z^2 + yz + xz + yz + xy + xz + xy ) = 100
x^2 + y^2 + z^2 + 2xy + 2yz + 2xz = 100
(x^2 + y^2 + z^2) + 2 ( xy + yz + xz) = 100
40 + 2 ( xy + yz + xz) = 100
2 ( xy + yz + xz ) = 60
xy + yz + xz = 30 ANSWER
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