If x + 1/x = 3, find the value of x^4 + 1/х^4
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x^4+1/x^4=47 is Answer
Step-by-step explanation:
x+1/x=3
on squarring both sides
(x+1/x)^2=3^2
x^2+1/x^2+2×x×1/x=9
x^2+1/x^2+2=9
x^2+1/x^2=9-2
x^2+1/x^2=7
now again squarring both sides
x^4+1/x^4+2×x^2×1/x^2=49
x^4+1/x^4+2=49
x^4+1/x^4=49-2
x^4+1/x^4=47
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