Answer :

for the function f(x) = 5x^2 + 3x - 2, we can use the discriminant to determine the number of x-intercepts. In this case, the discriminant is greater than zero, which means there are two x-intercepts.

Answer:

x = 2/5 or x = -1

Step-by-step explanation:

f(x) = 5x² + 3x - 2

5x² + 5x - 2x - 2 = 0

5x(x + 1) - 2(x + 1) = 0

(5x - 2)(x + 1) = 0

thus,

x = 2/5 or x = -1