How do you solve the quadratic equation by completing the square: #3x^2-9x=-1#?
Starting from the general form of the quadratic equation
divide verything by
In your cae,
To solve this quadratic by completing the square, you need to write the left side of the equation as the square of a binomial. This can be done by adding a term to both sides of the equation.
The coefficient of the
So, divide this coefficient by 2, then square the result to get
The general formula for the square of a binomial looks like this
You can use this formula to rewrite the left side of the equation as
Your quadratic becomes
Take the square root of both sides to get
The two solutions to your quadratic equation will thus be