Question

if x^2+ 1/x^2= 62, find the value of x +1/x ​

Answer 1

Answer:

8

Step-by-step explanation:

Since

$(x+\frac{1}{x})^2= x^2+\frac{1}{x^2} +2\\Therefore \ adding \ 2 \ both \ sides \ in \ the \ equation \ in \ the \ question,\\\\x^2+\frac{1}{x^2}+2=62+2=64\\Therefore,\\ (x+\frac{1}{x})^2=64=8^2\\Therefore\\(x+\frac{1}{x})=8-ANS$

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