Question

if x+y+z=10 and x2+y2+z2=40 .Find xy+yz+zx.

Answer 1

Answer:

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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Answer 2

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Step-by-step explanation: