To determine the value of b²-4ac for the quadratic equation 12x² + 5x - 2 = 0, we need to identify the values of a, b, and c from the general form of a quadratic equation: ax² + bx + c = 0.
In this case, we have:
a = 12
b = 5
c = -2
Now we can substitute these values into the formula for b²-4ac:
b²-4ac = (5)² - 4(12)(-2)
Simplifying, we get:
b²-4ac = 25 + 96
b²-4ac = 121
Therefore, the value of b²-4ac for the quadratic equation 12x² + 5x - 2 = 0 is 121.