To solve the quadratic equation 4x ^ 2 - 5x - 12 = 0, you can use the quadratic formula, which is given by:

In the equation ax2+ bx + c = 0, the coefficients are:
- a = 4
- b = −5
- c = −12
Now, substitute these values into the quadratic formula:

Simplify the expression:

So, the solutions for the equation 4x2 − 5x − 12 = 0 are:


