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.
(- 6+3sqrt(5), - 6-3sqrt(5))
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.
x^2+12x-9=0 ⇔ 1x^2+ 12x+( - 9)=0
We see that a= 1, b= 12, and c= - 9. Let's substitute these values into the Quadratic Formula.
Using the Quadratic Formula, we found that the solutions of the given equation are x=- 6± 3sqrt(5). Therefore, the solutions are x_1=- 6+3sqrt(5) and x_2=- 6-3sqrt(5).
