Question

If x+1/x =8, find the value of x²+1/x²​

Answer 1

hope it helps you.....

Answer 2

$\huge{\orange{\fbox{\green{\fbox{\mathcal{\orange{An}\blue{sw}\green{er}}}}}}}$

$\large{\orange{Given,}}$

• $\blue{x+\dfrac{1}{x}=8}$

• $\purple{\fbox{\green{Squaring\;on\;both\;sides}}}$

• $\orange{(x+\dfrac{1}{x})^2=8^2}$

• $\blue{x^2+(\dfrac{1}{x})^2+2x(\dfrac{1}{x})=64}$

• $\green{x^2+(\dfrac{1}{x})^2+2=64}$

• $\orange{x^2+(\dfrac{1}{x})^2=64-2}$

• $\blue{x^2+(\dfrac{1}{x})^2=62}$

• $\green{The\;required\;value,\;\red{\fbox{x^2+\dfrac{1}{x^2}}} \:is\;62}$