Question

solve it fast please​

Answer 1

Answer:

+-5

Step by step explanation

${a}^{2} + \frac{1}{ {a}^{2} } = 23 \\ a + \frac{1}{a } = {?} \\as \: we \: know \: \\ {(a + \frac{1}{a}) }^{2} = {a}^{2} + {( \frac{1}{a}) }^{2} + (2 \times a \times \frac{1}{a} ) \\ (a + { \frac{1}{a} )}^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \\ on \: putting \: the \: value \: \\ ( {a + \frac{1}{a} )}^{2} = 23 + 2 \: \: as \: \: {a}^{2} + \frac{1}{ {a}^{2} } = 23 \\ a + \frac{1}{a} = \sqrt{25} \\ a + \frac{1}{a } = + - 5$

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