Which two values of x are roots of the polynomial below x^2-11x+17

Answer

9.14 and 1.86

Explanation

x²-11x+17

The first thing is to equate it to zero.

x²-11x+17 = 0

x²-11x = - 17

x² - 11x + (11/2) ² = - 17 + (11/2) ²

(x² - 11/2) ² = - 17 + 121/4

(x - 11/2) ² = 13.25

x - 11/2 = √13.25 or x - 11/2 = - √13.25

x = √13.25 + 11/2 x = - √13.25 + 11/2

= 3.64 + 5.5 = - 3.64 + 5.5

= 9.14 = 1.86