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.
2± sqrt(10)/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 a
Let's start by rewriting the equation so all of the terms are on the left-hand side and then simplify as much as possible.
Now, we can identify the values of a, b, and c.
3x^2-4x-2=0 ⇔ 3x^2+( - 4)x+( - 2)=0
We see that a= 3, b= - 4, 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= 2± sqrt(10)3. Therefore, the solutions are x_1= 2+sqrt(10)3 and x_2= 2-sqrt(10)3.
