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`

`=> x^2 - 5x - 3x + 15 = 0`

`=> x^2 - 8x + 15 = 0` which is the required equation.