Question

write the quadratic equation whose roots are -2 and -3

Answer 1

quadratic eq. is x²+5x+6

Answer 2

Let α=−2 and β=−3

α+β=−2−3=−5 and α⋅β=(−2)×(−3)=6

The required quadratic equation is

x^2 −(α+β)x+α⋅β=0

⇒x^2 −(−5)x+6=0

⇒x^2 +5x+6=0