How do you solve the quadratic equation by completing the square: #x^2-2x-5=0#?
Start by writing your quadratic in the form
In your case,
In order to solve this quadratic by completing the square, you need to write the left side of this equation as a square of a binomial by adding a term to both sides of the equation.
You can determine what this term must be by dividing the coefficient of the
In your case, you have
This means that the quadratic becomes
The left side of the equation can now be written as
This means that you have
Take the square root of both sides to get
The two solutions to your quadratic will thus be