Find the roots of the following quadratic equation if they exist by the method of completing the square 2x²-7x+3=0?
See my proof below.
then we get
It is always good to write out the square as a reminder. We want the expression on the form:
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:
This gives the two solutions
We see the graph of