Question

If a-1/a=4,find a^2+1/a^2​

Answer 1

Answer:

GIVEN ::

a - (1/a) = 4

Now

a² + (1/a)²

= (a - 1/a )² - 2*a*(1/a)

= 4² - 2

= 16 - 2

=14

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Answer 2

Given:

$a - \frac{1}{a} = 4$

To find:

${a}^{2} + \frac{1}{ {a}^{2} }$

Explanation:

${(a - \frac{1}{a} )}^{2} = {a}^{2} + \frac{1}{ {a}^{2} } - 2 \times a \times \frac{1}{a}$

${4}^{2} = {a}^{2} + \frac{1}{ {a}^{2} } - 2$

${a}^{2} + \frac{1}{ {a}^{2} } = 16 - 2$

${a}^{2} + \frac{1}{ {a}^{2} } = 14$