## if x²-4x=1, find values of x+1/x and x²-1/x² plz help fast it’s urgent

Question

if x²-4x=1, find values of x+1/x and x²-1/x² plz help fast it’s urgent

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Mathematics
3 months
2021-07-25T18:51:37+00:00
2021-07-25T18:51:37+00:00 2 Answers
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## Answers ( )

Step-by-step explanation:x2−3x+1=0∣(a±b)2=a2±2ab+b2

(x−32)2−94+1=0∣+54

(x−32)2=54∣√

x−32=±5√2∣+32

x=3±5√2

x2=14±65√4

1×2=414±65√=4×(14∓65√)16

So

x2−1×2=14±65√4−4×(14±65√)16=4×(14±65√)−4×(14∓65√)16=±48×5√16=±3×5–√

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