Use the quadratic formula to find the solutions to the quadratic equation

below. Check all that apply.

5x² - X-4 = 0

Solution ~ x = - 4/5, and x = 1

Step-by-step explanation:

1. Let us apply simple algebra to first factor this quadratic equation:

5x² - x - 4 = 0,

(5x^2 + 4x) + (-5x - 4) = 0,

x (5x + 4) - (5x + 4) = 0,

(5x + 4) (x - 1) = 0

2. Now that this is factored, we can apply the zero factor principle to derive the two solutions to this equation:

5x + 4 = 0, and x - 1 = 0,

5x = - 4, and x = 1,

Solution: x = - 4/5, and x = 1