Question

The quadratic equation whose roots are-2-,3root2 is?

Answer 1

Step-by-step explanation:

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