Question

x+1/x=3 then x square +1/x square =?​

Answer 1

Step-by-step explanation:

GIVEN,

X+1/X=3

(X+1/X)^2 =9

X^2+1/X^2+2=9

X^2+1/X^2=7

ANSWER

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Answer 2

Answer:

$\large{\sf{\blue{x^2\:+\:\dfrac{1}{x^2}\:=\:7}}}$

Step-by-step explanation:

We know that,

$\large{\boxed{\sf{(x\:+\:\dfrac{1}{x})^2\:=\:x^2\:+\:\dfrac{1}{x^2}\:+2}}}$

It is given that,

$\sf{x\:+\:\dfrac{1}{x}}$ = 3

Putting the value,

: $\implies$ $\sf{(3)^2\:=\:x^2\:+\:\dfrac{1}{x^2}\:+2}$

: $\implies$ 9 = $\sf{x^2\:+\:\dfrac{1}{x^2}\:+\:2}$

: $\implies$ 9 - 2 = $\sf{x^2\:+\:\dfrac{1}{x^2}}$

: $\implies$ $\sf{x^2\:+\:\dfrac{1}{x^2}\:=\:7}$

$\therefore$ $\large{\sf{\red{x^2\:+\:\dfrac{1}{x^2}\:=\:7}}}$