Answer: [tex]x^{2} +4x - 12 = 0[/tex]
Step-by-step explanation:
To find the quadratic equation when the roots are given , we will use the formula:
[tex]x^{2} -[/tex] sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots = -6 + 2 = -4
product of roots = -6(2) = -12
substituting into the formula, we have
[tex]x^{2} - (-4) +(-12) = 0[/tex]
[tex]x^{2} +4x - 12 = 0[/tex]
