Question

if x=√5+2,then find the value of x²+1/x²​ .
WHY YOU DELETE MU QUESTIONS ..​

Answer 1

Answer:

Given, x=$\sqrt[]{5}$ + 2

Step-by-step explanation:

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

$(\sqrt{5}+2)^{2} + \frac{1}{(\sqrt{5}+2)} ^{2}$

$(5+4+4\sqrt{5}) + \frac{1}{(5+4+4\sqrt{5})}$

$(5+4+4\sqrt{5}) + (5+4+4\sqrt{5})x^{-1}$

$(5+4+4\sqrt{5})^{1-(-1)}$

$(5+4+4\sqrt{5})^{0}$

$1$

hope it helps!!