Question

Find the quadratic equation, whose solution set is:

{3,5}

Answer 1

Since solution set is 

⇒ x = 3 or x = 5

⇒ x − 3 = 0 or x − 5 = 0

⇒ (x − 3) (x − 5) = 0

⇒ x² − 5x − 3x + 15 = 0

⇒ x² − 8x + 15 = 0 which is the required equation.