Answer: Discriminant = 196
Step-by-step explanation:
y = 3x² + 4x - 15
a=3 b=4 c=-15
Discriminant = b² - 4ac
=(4)² - 4(3)(-15)
= 16 - (-180)
= 16 + 180
= 196
If b² - 4ac > 0, then there are 2 real roots/solutions/x-intercepts
If b² - 4ac = 0, then there is 1 real root/solution/x-intercept
If b² - 4ac < 0, then there are 0 real roots/solutions/x-intercepts
(2 imaginary roots/solutions)
Since 196 is positive, there are 2 real roots ....