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

`=> x^2 - 3x+ 2x - 6= 0`

`=> x^2 - x - 6 = 0` which is the required equation