How do you solve the quadratic equation by completing the square: #2x^2 - 3x + 1 = 0#?
The first thing you need to do is get your quadratic to the form
To do that, add
The idea behing using the completing the square technique is that you need to write the left side of the equation as a square of a binomial by adding a term to both sides of the equation.
This term can be found by dividing the coefficient of the
Your quadratic now becomes
The left side of the equation can now be written as
This means that you have
Take the square root of boths sides to get
The two solutions of the quadratic will thus be