Question

x+1/x=10, find the value of x²+1/x​

Answer 1

Answer:

x²+1/x²=98

Step-by-step explanation:

$x+\frac{1}{x} =10\\\\(x+\frac{1}{x} )^2=10^2\\\\x^2+\frac{1}{x^2} +2(x)(\frac{1}{x} )=100\\\\x^2+\frac{1}{x^2} +2(1)=100\\\\x^2+\frac{1}{x^2} =100-2=98$

Hope it helps!

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