Question

if x+1/x=√5 , find value of x²+1/x²

Answer 1

★ Hey mate ★


( x + 1 / x ) ² = ( √ 5 ) ²


x² + 1 / x² + 2 = 5


x² + 1 / x² = 3



hence your answer is ===> 3



hope it helps you dear !!!


thanks !!

Answer 2

x + 1/x = √5

$(x)^{2} + (\frac{1}{x})^{2} \\ \\ = (x + \frac{1}{x} )^{2} - 2 \: x \: \frac{1}{x} \\ \\ = ( \sqrt{5} )^{2} - 2 \\ \\ = 5 - 2 \\ \\ = 3$

Hope it will help you .