Final answer:
The quadratic equation 24x²+7x-6=0 is solved by using the quadratic formula, substituting the values for a, b, and c, and finding the two possible solutions for x.
Step-by-step explanation:
To solve the quadratic equation 24x²+7x-6=0, we can employ the quadratic formula, which is:
x = ∛ ² − 4ac ) / (2a)
Here, a equals 24, b equals 7, and c equals -6. Inserting these values into the quadratic formula, we get:
x = ∛(−(7))² − (4(24)(-6))) / (2(24))
Upon simplifying this, we get two potential solutions for the value of x. Remember that the quadratic formula always provides two solutions, as it includes both the positive and negative square root.