How many solutions do it have: 0 = 5x^2 + 2x - 12

Answer 1

This equation is a quadratic equation and in the form of 5x^2 + 2x - 12 = 0. To find the number of solutions, we need to calculate the discriminant (b^2 - 4ac), where a = 5, b = 2, and c = -12.

The discriminant is calculated as follows:

b^2 - 4ac = 2^2 - 4(5)(-12)
= 4 + 240
= 244

Since the discriminant (244) is positive, this means that the quadratic equation has 2 distinct real solutions.