Question

Find the number of solutions y = 3x2 - 4x - 5

Select one:
a. 2
b. 0
c. 1
d. 2

Answer 1

hint: the equation ax^2 + bx + c = 0 will either have

* two real solutions
* one real solution
* no real solutions

To determine which scenario happens, we use the formula D = b^2 - 4ac, which is the discriminant formula. We then use these rules

* If D > 0, then ax^2 + bx + c = 0 has 2 real solutions
* If D = 0, then ax^2 + bx + c = 0 has 1 real solution
* If D < 0, then ax^2 + bx + c = 0 has no real solutions