Question

Find the quadratic equation, whose solution set is: 

{3, 5} 

Answer 1

Since solution set is {3, 5}

⇒ 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.