Question

yadi x+1/x=6 hai to x^2+1/x^2=?​

Answer 1

$x^{2}+\dfrac{1}{x^{2}}=34$

Explanation:

$\therefore x^{2}+\dfrac{1}{x^{2}}$

$=(x+\dfrac{1}{x})^{2}-2\times x\times\dfrac{1}{x}$

[Using the identity: $a^{2}+b^{2}=(a+b)^{2}-2ab$ ]

$=6^{2}-2$ [ Given: $x+\dfrac{1}{x}=6$ ]

$=36-2$

$=34$