Question

Use the quadratic formula to find the solutions to the quadratic equation
below. Check all that apply.
5x² - X-4 = 0

Answer 1

Answer:

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