if X square + Y square + Z square minus x y minus y z - z x is equal to zero prove that X is equal to Y is equal to Z
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Answered by
43
Answer:
x²+y²+z²-xy-yz-zx=0
Step-by-step explanation:
re arrange it,
(x²-xy)+(y²-yz)+(z²-zx)=0
x(x-y)+y(y-z)+z(z-x)=0
if addition is zero it means numbers are zero
therefore, x(x-y)=0
y(y-z)=0
z(z-x)=0
now, x, y, z is not zero it means
x-y=0 (x=y) ...1
y-z=0 (y=z) ...2
z-x=0 (z=x) ...3
from 1 2 3 we have,
x=y=z
Answered by
0
Answer:
Step-by-step explanation:
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