Question

Alpha and beta are distict root of the equation x^2-x+1 then alpha

Answer 1

Answer: α = (1±√5)/2

Step-by-step explanation:

x² - x + 1  =  0

x² - 2*1/2*x + (1/2)² = -1 + (1/2)²

(x-1/2)² = 1 - 1/4

(x - 1/2)² = 5/4

x  -  1/2  = ± (√(5))/2

α = x = (1±√5)/2