Question

If x+1/=5, find (i)x ^2+1/x^2(ii)x ^2−1/x^2

Answer 1

Step-by-step explanation:

Here is your answer

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I don't think its possible to find x²- 1/x².....or maybe I don't know it

Answer 2

Answer:

so x²-1/x²= ±5√21

x²+1/x²=23

Step-by-step explanation:

x+1/x=5

squaring

x²+1/x²+2=25

x²+1/x²=23

again squaring

x⁴+1/x⁴+2=529

subtracting 4 from both sides

x⁴+1/x⁴-2=529-4

x⁴+1/x⁴-2*x²*1/x²=525

(x²-1/x²)²=525

so x²-1/x²= ±5√21