Question

if x=√5+2,then find the value of x²+1/x²​.
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Answer 1

Answer:

my exams are also going good

when will be ur exam end

Answer 2

Answer:

18

Step By Step Explanation:

Given Value Of X:

$x = \sqrt{5 } + 2$

Given Equation:

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

Substituting The Value Of X:

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

$9 + 4 \sqrt{5 } + \frac{1}{9 + 4 \sqrt{5} }$

$\frac{ {(9 + 4 \sqrt{5}) }^{2} + 1}{9 + 4 \sqrt{5} }$

$\frac{162 + 72 \sqrt{5} }{9 + 4 \sqrt{5} }$

$\frac{18(9 + 4 \sqrt{5} )}{9 + 4 \sqrt{5} }$

$= 18$