Question

find x + 1/x , if x²+1/x2= 62​

Answer 1

Answer:

$x+\frac{1}{x}=8$

Step-by-step explanation:

$Given=x^{2}+\frac{1}{x^{2}}=62$

$(x+\frac{1}{x}) ^{2}=x^{2}+\frac{1}{x^{2} }+2$

⇒ $(x+\frac{1}{x}) ^{2}=62+2$

⇒ $(x+\frac{1}{x}) ^{2}=64$

⇒ $x+\frac{1}{x}=8$

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