Question

Find the quadratic equation, whose solution set is :

(-2,3}

Answer 1

Since solution set is {-2,3)

⇒ x = -2 or x = 3

⇒ x + 2 = 0 or x - 3 = 0

⇒(x + 2)(x -3) = 0

⇒ x² - 3x + 2x - 6 = 0

⇒ x² - x - 6 = 0 which is the required equation.