Find the difference between the roots of the quadratic equation x² - 12x + 20 = 0

Question: Find the difference between the roots of the quadratic equation x² - 12x + 20 = 0

Solution:
x^{2 _} 12x + 20 = 0
⇒ x^{2 _} 10x ^_ 2x + 20 = 0
⇒ x(x - 10) - 2(x - 10) = 0
⇒ (x - 10)(x - 2) = 0

∴ The solutions to the equation are 10 and 2.

∴ Their difference is = 10 - 2 = 8.