Question

The solution set for 12x2 − 13x + 3 = 0 is { }. (Separate the solutions with a comma) NextReset

Answer 1

For us to get the solutions of the given function, we let f(x) be equal to zero and solve for the values of x.

                    f(x) = 12x² - 13x + 3 = 0

To get the two values of roots, a and b, we use the concepts presented below.
                      a + b = -B/A
                       ab = C/A

Substituting the known values,
 
                      a + b = -(-13/12) = 13/12

                          ab = 3/12

The values of a and b from the equation are 3/4 and 1/3, respectively.

The solution set then becomes {3/4, 1/3}.