If \: \: a + (1)/(a) = 3 \: prove \: that \: {a}^(2) \frac{1}{ {a}^(2) } = 7 .....................

TomahawkPhant asked Jan 13, 2023

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$If \: \: a + (1)/(a) = 3 \: prove \: that \: {a}^(2) \frac{1}{ {a}^(2) } = 7$

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TomahawkPhant asked Jan 13, 2023

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11 votes

Answer -

a+1/a = 3 -----(1)

a²+1/a² = 7

By doing square of equation 1

(a+1/a)² = 9

a²+1/a²+ 2 ×a × 1/a = 9 using (a+b)²=a²+b²+2ab

a²+1/a²+2=9

a² + 1/a² = 9-2

a²+1/a²= 7 Ans.

Chivonne answered Jan 18, 2023

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