Question

Which of the following
quadratic equation has roots - 2and-3 ​

Answer 1

Answer:

Let α=−2 and β=−3

α+β=−2−3=−5 and α⋅β=(−2)×(−3)=6

The required quadratic equation is

x2−(α+β)x+α⋅β=0

⇒x2−(−5)x+6=0

⇒x2+5x+6=0