how many real number solutions Dows the equation have. 0=5x^2+2x-12

1 answer

To determine the number of real number solutions for the equation 0 = 5x^2 + 2x - 12, we can use the discriminant formula from the quadratic formula. The discriminant is calculated as b^2 - 4ac, where the equation is in the form ax^2 + bx + c = 0.

In this case, a = 5, b = 2, and c = -12. Plugging these values into the formula gives us:

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

Since the discriminant is greater than zero (244 > 0), the equation has two real number solutions.