a/b=b/a-2. Find- a^2 / b^2 + b^2 / a^2​

1 thought on “a/b=b/a-2. Find- a^2 / b^2 + b^2 / a^2​”

1. given:–

   [tex] \frac{a}{b} = \frac{b}{a} – 2 – – – (1)[/tex]

   to find:–

   [tex] \frac{ {a}^{2} }{ {b}^{2} } + \frac{ {b}^{2} }{ {a}^{2} } [/tex]

   solution:–

   rearrange equation 1

   we get,

   [tex] \frac{a}{b} – \frac{b}{a} = – 2[/tex]

   multiply –1 on both side.,

   [tex] \frac{b}{a} – \frac{a}{b} = 2[/tex]

   squaring both the side.,

   [tex]( { \frac{b}{a} – \frac{a}{b} })^{2} = 4[/tex]

   on expanding.,

   [tex] \frac{ {b}^{2} }{ {a}^{2} } + \frac{ {a}^{2} }{ {b}^{2} } – 2 \times \frac{b}{a} \times \frac{a}{b} = 4[/tex]

   on simplification we get.,

   [tex] \frac{ {b}^{2} }{ {a}^{2} } + \frac{ {a}^{2} }{ {b}^{2} } = 4 + 2[/tex]

   [tex] \frac{ {a}^{2} }{ {b}^{2} } + \frac{ {b}^{2} }{ {a}^{2} } = 6[/tex]

   hence find...

   hope it helps you!!!!!!!!!!!!!

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