SOLUTION: I need help with completing the square, if you have a few minutes. {{{4X^2-4X-99}}}

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Question 173942: I need help with completing the square, if you have a few minutes.
4X%5E2-4X-99
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

4X%5E2-4X-99, divide the whole eqn by 4:
cross%284%29x%5E2%2Fcross%284%29-cross%284%29x%2Fcross%284%29-%2899%2F4%29
x%5E2-x-%2899%2F4%29
%28x%5E2-x%2B%281%2F4%29%29-highlight%281%2F4%29-%2899%2F4%29
*Take "half of the middle constant, in this case "1", then squared-->%281%2F2%29%5E2=1%2F4. Don't forget to subtract 1%2F4 too so the expression does not change.
%28x-1%2F2%29%5E2-%28100%2F4%29
highlight%28%28x-1%2F2%29%5E2-25%29
Point: (1/2,-25) VERTEX, as we see the graph:

Thank you,
Jojo