Question

if x+y+z=12 & xy+yz+zx=25 then find x^2+y^2+z^2
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Answer 1

Answer:

94

Step-by-step explanation:

x^2+y^2+z^2+2(xy+yz+zx)=(x+y+z)^2

Answer 2

Step-by-step explanation:

x+y+z=12

And,xy+yz+zx=25

Now,

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

(12)^2=x^2+y^2+z^2+2(xy+yz+zx)

144=x^2+y^2+z^2+2(25)

144-50=x^2+y^2+z^2

Therefore , x^2+y^2+z^2=94.

Hope It Helps !!