Question

if x² - 3x- 1 = 0 find
the value of x² + 1/x^2​

Answer 1

Answer:

Value of x² + 1/x² is 11.

Step-by-step explanation:

x² - 3x - 1 = 0

x² - 1 = 3x

( x² - 1 ) / x = 3

x²/x - 1/x = 3

x - 1/x = 3

Squaring on both sides

(x - 1/x)² = 3²

x² + (1/x)² - 2(x)(1/x) = 9

x² + 1/x² - 2 = 9

x² + 1/x² = 9 + 2 = 11

Therefore the value of x² + 1/x² is 11.