how many real number solutions does 0 equals 3x squared minus 5x minus 5 have

Answer 1

To determine the number of real number solutions for the equation 0 = 3x^2 - 5x - 5, we can use the discriminant in the quadratic formula.

The discriminant is given by b^2 - 4ac, where a = 3, b = -5, and c = -5 in this case.

Plugging in the values, we get:
b^2 - 4ac = (-5)^2 - 4(3)(-5) = 25 + 60 = 85

Since the discriminant is positive (85 > 0), the equation has two distinct real number solutions.