Question

If x-1/x=√5 find value of x²+1/x²​

Answer 1

Answer:

ह३गिराकदागिरीराररिहहा

Answer 2

$x - \frac{1}{x} = \sqrt{5}$

Squaring both sides,

$(x - \frac{1}{ x } ) ^{2} = \sqrt{5 ^{2} }$

${x}^{2} +( \frac{1}{x} ) {}^{2} - 2 .\frac{1}{x}. x = 5$

${x}^{2} + \frac{1}{x {}^{2} } - 2 = 5$

$x^{2} + \frac{1}{x {}^{2} } = 5 + 2$

$x^{2} + \frac{1}{x {}^{2} } = 7$