Make sure you write all the terms on the left-hand side of the equation and simplify as much as possible before using the Quadratic Formula.
(5+sqrt(57)/8, 5-sqrt(57)/8)
Practice makes perfect
We will use the Quadratic Formula to solve the given quadratic equation.
ax^2+ bx+ c=0 ⇔ x=- b± sqrt(b^2-4 a c)/2 aWe first need to identify the values of a, b, and c.
4x^2-5x-2=0 ⇔ 4x^2+( - 5)x+( - 2)=0
We see that a= 4, b= - 5, and c= - 2. Let's substitute these values into the Quadratic Formula.
Using the Quadratic Formula, we found that the solutions of the given equation are x= 5±sqrt(57)8. Therefore, the solutions are x_1= 5+sqrt(57)8 and x_2= 5-sqrt(57)8.
