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Let $x, y, z$ be positive reals. Which of the following implies $x=y=z$ ?
Options:
Solution:
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Verified Answer
The correct answer is:
$x^{3}+y^{2} z+y z^{2}=3 x y z$
For option (3) if $x=z=1$ and $y=2$ then option (3) is right.
So by option (3) we can't say $x=y=z$. Remaining options implies $x=y=z$
So by option (3) we can't say $x=y=z$. Remaining options implies $x=y=z$
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