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The non-negative real numbers x ,y and z satisfy the two equations

 

x^2 + y^2 + z^2 = 9

xy + yz + zx = 6

 

What is the sum of x, y, and z?

 Jan 28, 2022
 #1
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Use the fact that

\((x+y+z)^2=x^2+y^2+z^2+2(xy +xz+yz)\)

 Jan 28, 2022

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