How do you solve #8x=3x^2 - 1# using completing the square?
Start by writing your equation in quadratic form
To solve this equation by completing the square you first need to find a way to write the left side of the equation as a square of a binomial.
Move the term that does not contain
Now divide everything by 3 to get
Next, divide the coefficient of the
Your quadratic will become
The left side of the equation can be written as
This will get you
Take the square roots of both sides to find the two solutions
The two solutions will be