use the quadratic formula to find both solutions to the quadratic equation given below. check all that apply 5x^2-x-4=0

x = - 4/5 and x = 1

Step-by-step explanation:

5x^2 - x - 4 = 0

Factor out x from the expression.

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

Factor out the negative sign from the expression.

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

Factor out 5x + 4 from the expression.

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

When the product of factors equal 0, that means atleast one factor is 0.

5x+4 = 0

x-1 = 0

Solve the equation for x.

5x + 4 = 0

Minus 4 from both sides.

5x = - 4

Divide by 5.

x = - 4/5

Solve the equation for x.

x - 1 = 0

Add one to both sides.

x = 1

Therefore, x = - 4/5 and x = 1.