Question

If x+1/x=12 find tha value of X2+1/x2

Answer 1

Answer:

13/2 is the answer .......

Answer 2

Answer:

$\boxed{ x^{2} +\frac{1}{x^2}=142}$

Step-by-step explanation:

$x+\frac{1}{x} =12 \\\\ squaring \ on \ both \ sides, \\\\ (x+\frac{1}{x})^2=12^2 \\\\ x^{2} +\frac{1}{x^2} +2(x)(\frac{1}{x})=144 \\\\ {[(a+b)^2=a^2+b^2+2ab]} \\\\ x^{2} +\frac{1}{x^2}+2=144 \\\\ x^{2} +\frac{1}{x^2}=144-2 \\\\ x^{2} +\frac{1}{x^2}=142$