Use the quadratic formula to solve the equation:6x^2 + 5x -3 = 0

Given the quadratic
equation:

6x^2 + 5x -3 =
0

Then we know that a = 6   b= 5   and  c =
-3

We will use the quadratic formula to find the
roots.

We know that:

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

==> x1 = [ -5 +
sqrt(25+4*6*3)]/ 2*6

          = ( -5 + sqrt97) /
12

==> x2= (
-5-sqrt97)/12

Then the roots
are:

x = { (-5+sqrt97)/12  ,  (-5-sqrt97)/12
}