1
Question
if x - 1/x=8 evaluate x4 + 1/x4
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Solution
X+1/x=8--equation(1)
Do the square of equation (1)
(x+1/x)^2=8^2
x^2+1/x^2+2=64
x^2+1/x^2=62--equation(2)
Do the square of equation(2)
(x^2+1/x^2)^2=(62)^2
x^4+1/x^4+2=3844
x^4+1/x^4=3842
Do the square of equation (1)
(x+1/x)^2=8^2
x^2+1/x^2+2=64
x^2+1/x^2=62--equation(2)
Do the square of equation(2)
(x^2+1/x^2)^2=(62)^2
x^4+1/x^4+2=3844
x^4+1/x^4=3842
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