X²-5x+1=0 find x²+1/x²

Asked by sandeep.123.gopani | 16th Dec, 2019, 10:11: AM

Expert Answer:

x²-5x+1=0
→ x² + 1= 5x
Divide the equation by x, we get
→ x +(1/x) = 5
 
x²+1/x²
= (x + 1/x)2 - 2
= 52 - 2
= 25 - 2
= 23

Answered by Yasmeen Khan | 16th Dec, 2019, 03:36: PM