How many real roots are in this equation

Question

h(x) = 3x ^ 2 + 3x - 100

how many real roots are in this equation

Answer 1

Since this is a quadratic equation, we can check the value of the discriminant to determine how many roots there are and what type of roots they are. From the equation, a = 3, b = 3, and c = -100, so inserting these values into the formula b² - 4ac, we get 9 - 4(3)(-100) which equals 1209. Since this is a positive quantity, the equation will have 2 real roots.

This equation could also be graphed, in which case the graph would show 2 x-intercepts, also indicating 2 real roots.