Question

x^2+1/x^2=18,find the value of x^4+1/x^4​

Answer 1

Answer:

Hey mate here is your answer ⬇️

Refer to the attachment.

Answer 2

$\bigstar$ Given :

$\bf{x^2+\dfrac{1}{x^2}=18}$

$\bigstar$ To Find :

$\bf{x^4+\dfrac{1}{x^4}=?}$

$\bigstar$ Formula :

$\bf{(a+b)^2=a^2+b^2+2ab}$

$\bigstar$ Solution :

$\bf{x^2+\dfrac{1}{x^2}=18}$

Now squaring of both sides , we get ,

$\bf{(x^2+\dfrac{1}{x^2})^2=18^2}\\\\\implies \bf{[x^2]^2+[\dfrac{1}{x^2}]^2+2.x^2.\dfrac{1}{x^2}=324}\\\\\implies \bf{x^4+\dfrac{1}{x^4}+2=324}\\\\\implies \bf{x^4+\dfrac{1}{x^4}=322}$