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
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 a
We first need to identify the values of a, b, and c.
x^2+12x+36=0 ⇕ 1x^2+ 12x+ 36=0
We see that a= 1, b= 12, and c= 36. Let's substitute these values into the Quadratic Formula.
Since adding or subtracting zero does not change the value of a number, the numerator will simplify to - 12. Therefore, we will get only one value of x.
x= - 12/2 ⇔ x= - 6
Using the Quadratic Formula, we found that the solution of the given equation is x=- 6.
