Math, asked by devendragoyal312, 5 months ago

If a²+1/a²=27

, then the value of a-1/a
is

Answers

Answered by ImperialGladiator
0

Step-by-step explanation:

\sf : \implies {a}^{2}  +  \frac{1}{ {a}^{2} }  = 27  \\  \sf : \implies \:  {a}^{2} +    {(\frac{1}{a} )}^{2} = 27 \\  \sf : \implies {a}^{2}  + 2(a)( \frac{1}{a} ) +  (\frac{1}{a}  {)}^{2}  = 27 \\  \sf : \implies  {a}^{2}  + 2 +  \frac{1}{ {a}^{2} }  = 27 \\  \sf : \implies \:  {a}^{2}  +  {( \frac{1}{a} )}^{2}  = 27 - 2\\  \sf : \implies \: ( a +  \frac{1}{a}  {)}^{2}  = 252\\  \sf : \implies \: a +  \frac{1}{a}  =  \sqrt{25}\\  \sf : \implies \:  a +  \frac{1}{a}  = 5 \: ans.

Similar questions