Question

If x^2+1/x^2=38 find x^4+1/x^4

Answer 1

Answer:

1442

Step-by-step explanation:

Given:- $x^2+\frac{1}{x^2}=38$

To Find:- $x^4+\frac{1}{x^4}$

Solution:-

$x^2+\frac{1}{x^2} =38$

Squaring on both sides

$(x^2+\frac{1}{x^2})^2=(38)^2\\ \\(x^2)^2+(\frac{1}{x^2})^2+2(x^2)(\frac{1}{x^2}) = 1444\\ \\x^4+\frac{1}{x^4} +2=1444\\\\x^4+\frac{1}{x^4}=1444-2\\ \\x^4+\frac{1}{x^4} =1442$

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