if x+y+z=10 and x^2+y^2+z^2=50 then x+y+z equals
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Answer:
x+y+z=10
It is already given in question , please recheck it
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using the identity
(a + b + c)² = x² + y² + c² + 2(ab + bc + ca)
(x + y + z)² = x² + y² + z² = 2(xy + yz + zx)
put the value of x , y , and z.
(10)² = 50 + 2(xy + yz + zx)
100/2 = 50 + xy + yz + zx
50 - 50 = xy + yz + zx
xy + yz + zx = 0
answer is = 0
may be it is helpful for you
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