x² + 1/x² = 23, evaluate:
1. x + 1/x
2. x-1/x
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Answer:
1.)x+1/x
(x+1/x)²=x²+1/x²+2×x×1/x
(x+1/x)²=23+2
(x+1/x)²=25
x+1/x=
x +1/x=5
2.)x-1/x
(x-1/x)²=x²+1/x²-2×x×1/x
(x-1/x)²=23-2
(x-1/x)²=21
x-1/x=
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