solve the equation:3x^2 +5x -12 = 0 using the formula.

Given the equation:

3x^2 + 5x
-12 = 0

We need to solve for
x.

We will use the formula to find the roots of the
quadratic equations.

We know
that:

x = [ -b +- sqrt(b^2-4ac)/
2a

==> x1= ( -5 +
sqrt(25-4*3*-12)]/2*3

            = (-5 + sqrt(169) /
6

            = (-5 +13)/6 = 8/6 =
4/3

==> x1=
4/3

==> x2= (-5 -13)/6 = -18/6 =
-3

==> x2= -3

Then the
solution for the quadratic equation is:

x= {
4/3 , -3}