if x+y+z=10 and xy+yz+zx =30 , then find the value of x²+y²+z²
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Answer:
(x+y+z)²=x²+y²+z²+2(xy+yz+zx)
10²=40+2(xy+yz+zx)
2(xy+yz+zx)=100-40=60
xy+yz+zx=30
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