Question

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If x+1/x=3, then find the value of x^2+1/x^2. Solve fastly

Answer 1

Answer:

⇒ $x^2+\frac{1}{x^2}=7$

Step-by-step explanation:

Given :

$x+\frac{1}{x}=3$

To find :

The value of $x^2+\frac{1}{x^2}$

Solution :

$x+\frac{1}{x}=3$

By squaring both the sides,

We get,

⇒ $(x+\frac{1}{x})^2=(3)^2$

⇒ $(x)^2+2x(\frac{1}{x})+(\frac{1}{x})^2=9$

⇒ $x^2+2+\frac{1}{x^2}=9$

⇒ $x^2+\frac{1}{x^2}=9-2$

⇒ $x^2+\frac{1}{x^2}=7$

Answer 2

Hey there

refer to attachment