Math, asked by Nishant2095, 7 months ago

x² + 1/x² = 23, evaluate:
1. x + 1/x
2. x-1/x

Answers

Answered by nk4546208
4

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=

 \sqrt{2} 5

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=

 \sqrt{21}

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