Question

if X + 1/X =2 then x^2 + 1/x^2​

Answer 1

Answer:

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

Step-by-step explanation:

$x+\frac{1}{x} =2 \\\\ squaring \ on \ both \ sides,\\\\ (x+\frac{1}{x})^2=2^2 \\\\ x^2+(\frac{1}{x})^2+2(x)(\frac{1}{x})=4\\\\x^2+\frac{1}{x^2}+2=4 \\\\ x^2+\frac{1}{x^2}=4-2\\\\x^2+\frac{1}{x^2}=2$

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formula used:

(a+b)² = a² + b² + 2ab

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