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.