How many real number solutions does the equation have? 0=5x^2+2-12

Two distinct real roots.

Step-by-step explanation:

To solve this problem you must find the discriminant of the quadratic equation with the following formula:

Given the quadratic equation , you have that:

When you subsitute values into the formula, you obtain the following result:

Therefore, as then you can conclude that the equation has two distinct real roots.