Question

Find the quadratic equation, whose solution set is: 

`{−3, (−2)/5}` 

Answer 1

Since solution set is `{−3, (−2)/5}`   

`⟹ x = −3 Or x = (−2)/5`
⟹ x + 3 = 0 Or 5x + 2 = 0
⟹ (x + 3) (5x + 2) = 0
⟹ `5x^2 + 2x + 15x + 6 = 0`
⟹ `5x^2 + 17x + 6 = 0` Which is the required equation.