Question

HEY GUYZ
IS THIS SOLUTION CORRECT​

Answer 1

⇒ ☹ sorry to tell what u wrote in note is not right which is wrong !!!

❥ correct answer :

$\huge \sf{x=(9-4 \sqrt{5} )}$

$\huge\sf{ \frac{1}{x} = \frac{1}{9 - 4 \sqrt{5} } }$

$\implies\mathfrak {rationalizing}$

$\huge \sf{\frac{1}{x} = \frac{1(9 + 4 \sqrt{5} )}{9 - 4 \sqrt{5} (9 + 4 \sqrt{5} )} }$

$\huge \sf{ \frac{1}{x} = 9 + 4 \sqrt{5} }$

$\huge \sf{ \small{x + } \huge\frac{1}{x} \small{ \: = \: } \huge \frac{1}{9 + 4 \sqrt{5} } \small +9+4 \sqrt{5} }$

$\huge \sf(x + \frac{1}{x} ) {}^{2} = 18 {}^{2}$

$\sf{ {x}^{2} + \huge\frac{1}{x {}^{2} } \small+ 2 = 324 }$

$\huge \sf{x {}^{2} + \frac{1}{x {}^{2} } = 322 }$

is the correct answer hope u got it !!!