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Question

If x+y+z=10 and xy+yz+zx=20, what is the value of x2+y2+z2


A
40
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B
60
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C
80
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D
50
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Solution

The correct option is B 60
We know,

(x+y+z)2 = x2+y2+z2+2(xy+yz+zx)

Given,
x + y + z = 10 and xy + yz + zx = 20


(10)2 = x2+y2+z2 + 2(20)
10040x2+y2+z2
 x2+y2+z2 = 60
 

Mathematics

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