Question

pls solve..........​

Answer 1

Answer:

$a + \frac{1}{a} = 5 \\ squaring \: on \:both \: sides \\ (a + \frac{1}{a}) ^{2} = {5}^{2} \\ or \: {a}^{2} + 2a \frac{1}{a} + ( \frac{1}{a} )^{2} = 25 \\ or \: {a}^{2} + ( \frac{1}{a} )^{2} = 25 - 2 \\ or \: (a - \frac{1}{a} ) ^{2} +2a\frac{1}{a} = 23 \\ or \:( a - \frac{1}{a} ) ^{2} = 23 - 2 \\ or \: (a - \frac{1}{a} ) = \sqrt{21} \\ so \: (a - \frac{1}{a} ) = \sqrt{21}$

hope it helps