Question

if A square + 1 by a square equals to 23 find the value of a + 1 by a

Answer 1

Heya Friend !!

Here's ur answer wid solution :-


${a}^{2} + { (\frac{1}{a}) }^{2} = 23$



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

[ using identity ( a + b )² = a² + b² + 2ab ]



$( {a + \frac{1}{a} )}^{2} = 23 + 2$



$( {a + \frac{1}{a} )}^{2} = 25$



$a + \frac{1}{a} = \sqrt{25}$



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

Answer 2

I hope it helps you during tests