If 2 and -3 are the roots of a quadratic equation. then the quadratic equation is:

Correct option is C

Given:

The roots of the quadratic equation are 2 and -3.

Formula Used:

A quadratic equation with roots α and β is given by:

x²−(α+β)x+αβ=0

Solution:

Sum of roots = 2+(−3) =−1

Product of roots = 2×(−3) = −6

Substituting these values in the quadratic equation formula:

x²−(−1)x+(−6)=0

x²+x−6=0