Question

x(x-1)
--------- =2
3

Answer 1

x (x - 1)/3 = 2 ------ x (x - 1) = 2 . 3 ------ x (x - 1) = 6 ---- x² - x - 6 = 0

a = 1        b = - 1      c = - 6

Δ = b² - 4ac ------ Δ = ( - 1)² - 4 . 1 . (- 6) ----- Δ = 1 + 24 ----- Δ = 25

x = (- b +- √Δ)/2a --------- x = (1 +- √25)/2 . 1 -----x (1 +- 5)/2

x' = (1 +5)/2 ---- x' = 6/2 ----- x' = 3

x" = (1 - 5)/2 ----- x" = - 4/2 ----- x' = - 2

S = {3, -2}