If G is the geometric mean of xandy then prove that G2−x21+G2−y21=G21

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If {G} is the geometric mean of {x}{a}{n}{.{d}{y}.} then prove

Question

If $G$ is the geometric mean of $x a n d y$ then prove that $\frac{1}{G ^{2} - x ^{2}} + \frac{1}{G ^{2} - y ^{2}} = \frac{1}{G ^{2}}$

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Noah Discussed

G

is the geometric mean of

x a n d y

then prove that

\frac{1}{G ^{2} - x ^{2}} + \frac{1}{G ^{2} - y ^{2}} = \frac{1}{G ^{2}}

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Question Text

G

is the geometric mean of

x a n d y

then prove that

\frac{1}{G ^{2} - x ^{2}} + \frac{1}{G ^{2} - y ^{2}} = \frac{1}{G ^{2}}