I came across a video in which the author explains visually how to arrive at the quadratic formula, except he skips some steps.
Here is the video: https://www.youtube.com/watch?v=EBbtoFMJvFc
I follow it up to this point, where some steps are skipped: https://www.youtube.com/watch?v=EBbtoFMJvFc&t=7m45s
In the video, the right side of the equation goes from:
So I think that I can rewrite the first example like this:
But I don't see how the a can be moved to the numerator. Or maybe I'm approaching it all wrong.
By the way, I really like this approach to explaining math. I never understood what 'completeing the square' actually means until I saw this video. It seems right at home with so many of the nice explanations here at Math is Fun.
Side note: I really appreciate the LaTeX integration in the forum. This is nice!
Last edited by numquester (2017-01-10 16:49:17)
Think about how you would add two fractions.
This is what you have done:
This isn't correct. You have to put both fractions over a common denominator and then just add the tops:
So in the formula multiply the first fraction top and bottom by 4a
Hopefully you can see how this works now.
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