Question

If x+1/x = root 7 find the value of x^4 + 1/x^4 (answer = 23 )

Answer 1

x+1/x = √7
squaring on both sides
x^2+1/x^2 +2 = 7
x^2+1/x^2 = 5
squaring on both sides
x^4+1/x^4+2 = 25
x^4+1/x^4 = 23
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