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.
(- 1+ sqrt(5)/3, - 1- sqrt(5)/3)
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.
9x^2+6x-4=0 ⇔ 9x^2+ 6x+( - 4)=0
We see that a= 9, b= 6, and c= - 4. Let's substitute these values into the Quadratic Formula.
Using the Quadratic Formula, we found that the solutions of the given equation are x= - 1± sqrt(5)3. Therefore, the solutions are x_1= - 1+ sqrt(5)3 and x_2= - 1- sqrt(5)3.
