Question

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Ifa - 1/a = 5, find the value of a square+ 1/a square​

Answer 1

the answer is 27.I hope it will help out.

Answer 2

Answer:

$\huge{\boxed{\boxed{\bf{(a)^{2}+(\frac{1}{a}^{2})=27}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\bf{SOLUTION-}}}}}$

$\huge{\boxed{\boxed{\bf{a-\frac{1}{a}=5(given)}}}}$

>>WE HAVE TO FIND

$\huge{\boxed{\boxed{\bf{(a)^{2}+(\frac{1}{a}^{2})=?}}}}$

>>FORMULA WE USE TO SOLVE IN THIS QUESTION IS

$( {a - b})^{2} = {a}^{2} + {b}^{2} - 2ab$

>>ACCORDING TO THE GIVEN QUESTION

$= ) (a - \frac{1}{a})^{2} = ( {a}^{2} ) + (\frac{1}{a})^{2} </u><u>-</u><u> 2 \times a \times \frac{1}{a} \\ = ) {5}^{2} = ( {a})^{2} + (\frac{1}{a})^{2} </u><u>-</u><u> 2 \\ = )25 </u><u>+</u><u> 2 = {a}^{2} + (\frac{1}{a})^{2} \\ = ){a}^{2} + (\frac{1}{a})^{2} = 2</u><u>7</u><u>$

$\huge{\boxed{\boxed{\bf{(a)^{2}+(\frac{1}{a}^{2})=27}}}}$