Question

a-1/a=5 then a+1/a =?​

Answer 1

Answer:

a²-1/a²=¥5√29...

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Answer 2

Answer:

$a + \frac{1}{a}$ = ±$\sqrt{29}$

Step-by-step explanation:

$a - \frac{1}{a} = 5$

$=> (a - \frac{1}{a} )^2 = 5^2$ [Squaring both sides of the equation]

$=> a^2 - 2.a.\frac{1}{a} + \frac{1}{a^2} = 25$

$=>a^2 - 2 + \frac{1}{a^2} = 25$

$=> a^2 +2 + \frac{1}{a^2} = 25 + 2 + 2 = 29$

$=> a^2 +2.a.\frac{1}{a} + \frac{1}{a^2} = 29$

$=> (a + \frac{1}{a})^2 = 29$

$=> a + \frac{1}{a}$ = ±$\sqrt{29}$