Question

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

Answer 1

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

1x2=414±65√=4×(14∓65√)16

So

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