Question

x^2+1/x^2, if X=2+√3​

Answer 1

Answer:

$\huge{\boxed{\boxed{\sf{x^{2}+\frac{1}{x^{2}}=14.07}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

□X=2+√3 (given)

To find

○x^2+1/x^2=?

${x}^{2} + \frac{1}{ {x}^{2} } \\ = ) {(2 + \sqrt{3} })^{2} + \frac{1}{ {(2 + \sqrt{3} })^{2} } \\ = )4 + (\sqrt{3})^{2} + 4 \sqrt{3} + \frac{1}{ 4 + (\sqrt{3})^{2} + 4 \sqrt{3} } \\ = )4 + 3 + 4 \sqrt{3} + \frac{1}{4 + 3 + 4 \sqrt{3} } \\ = )7 + 4 \times 1.73 + \frac{1}{7 + 4 \times 1.73} \\ = )7 +6.9 2 + \frac{1}{7 + 6.92} \\ = )13.92 + \frac{1}{13.92} \\ = ) \frac{(13.92)^{2} + 1}{13.92} \\ we \: take \: 13.92 = 14(approx) \\ = ) \frac{(14)^{2} + 1 }{14} \\ = ) \frac{196 + 1}{14} \\ = ) \frac{197}{14} \\ = ) 14.07$

$\huge{\boxed{\boxed{\sf{x^{2}+\frac{1}{x^{2}}=14.07}}}}$