যদি a > b > c এবং x3- x = (x - a)(x - b)(x - c) হয়, তবে x এর সকল মানের জন্য b = ?

x³ - x = (x - a)(x - b)(x - c)
বা, x(x² - 1) = (x - a)(x - b)(x -c)
বা, (x - 0)(x + 1)(x - 1) = (x - a)(x - b)(x - c)
বা, (x - 1)(x - 0)(x + 1) = (x - a)(x - b)(x - c)
∴ a > b > c
∴ x - 1 = x - a,
x - 0 = x - b,
x + 1 = x - c
∴ a = 1
∴ b = 0
∴ c = -1