Question

Find the quadratic equation, whose solution set is: 

{5, −4,} 

 

Answer 1

Since solution set is {5,−4,}
⟹ x = 5 Or x = −4
⟹ x − 5 = 0 Or x + 4 = 0
⟹ (x − 5) (x + 4) = 0
⟹ `x^2 – 5x + 4x − 20 = 0`
⟹ `x^2 – x − 20 = 0`   Which is the required equation.