Question

If a2+1/a2=11, then what is the value of a-1/a

Answer 1

Answer:

${a}^{2} + \frac{1}{ {a}^{2} } = 11 \\we \: have \: to \: use \: {(a + b)}^{2} property. \\ \: a - \frac{1}{a} =( {a - \frac{1}{a} })^{2} \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2(a \times \frac{1}{a}) \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2 \\ we \: know \: that \: {a}^{2} + \frac{1}{ {a}^{2} } = 11 \: so \: we \: will \: \\ put \: the \: value \: of \: this \\ 11 - 2 = 7$

$a - \frac{1}{a} = \sqrt{7}$

It is the answer.

Answer 2

Answer:

$\sqrt{7}$

Step-by-step explanation: