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This is a program where you input A,B, and C and it calculates the vertex of the parabola and then the roots (if any). If there are two roots they all be listed, if there is one root, it will be listed twice. If there are no roots, ERR:NONREAL ANS comes up. Simply press enter twice from here to resume the program. As well as calculating these values, it also graphs the equation (stored into Y1). This is not shown in the program, but can be viewed after exiting. The program also includes a list of equation forms and a square root finder for calculating discriminants. It does not require anything other than a few variables to run. They are deleted after the program is finished. The program is not locked, to the best of my knowledge. 
What the community thinks:
I used TokenIDE to see the code, and I noticed a few optimizations. Pause can be used the same as Disp, and there was a statement that I simplified by not calculating a value and storing it, just to use that value once. Also, adding the a+bi at the beginning prevents the nonreal answer error. My code comes out to 399 bytes
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tibasicdev.wikidot.com(slash)archive:userfriendlyquadraticprogramv11
Thanks Trenly!
What do you get when you multiply six by nine? FortyTwo.
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Definitly much simpler than the one i made for algebra