# How do you solve using the completing the square method #x^2-6x+5=0#?

##### 3 Answers

#### Explanation:

Remember in squaring a general binomial

Given:

If

So the third term must be

To complete the square we add a

Now we can write the first 3 terms as a squared binomial:

Simplifying

Taking the square root of both sides

Then add

#### Explanation:

It seems strange to want to use completing the square, because this quadratic trinomial factorises to give

But let's proceed... Completing the square is based on the fact that

the square of a binomial gives a standard answer

There is ALWAYS a relationship between the

This is:

In

This means that 5 is not the correct constant, move it to the RHS

Another example of method. Have a look at: