# Find the roots of the following quadratic equation if they exist by the method of completing the square 2x²-7x+3=0?

##### 2 Answers

Jun 23, 2018

See my proof below.

#### Explanation:

this is

using that

then we get

Jun 23, 2018

#### Explanation:

It is always good to write out the square as a reminder. We want the expression on the form:

gives

=

where I have moved the constant over to the right side.

Comparing term for term we see that

The square, therefore, is

We, therefore get:

=

Therefore:

This gives the two solutions

Test:

We see the graph of