Use the quadratic formula to solve these equations, showing work. Of course, every equation's value of x is independent from the rest.
(x^2) + 4x - 2 = 0
-6(x^2) + 3x + 2 = 3
-(x^2) +1 = -5(x^2) + 4x
2(x - 3)^2 = -2x + 9
Come on Shadew, we are not here to do all your homework for you.
The first one can just get plugged straight into the quadratic formula a=1, b=4 and c=-2
The others you need to simplify so that they are in the form $$ax^2+bx+c=0$$ first.
this might help
Well, to be fair, that isn't all of it.
But I seriously thought the point of this site was to get help with math homework. Granted, I could (and should) have just asked for you guys to answer one and then applied the steps to the rest.
Shadew.....let us know if you have trouble putting any of them in S.F.......once you do that....it's just "plug and play," basically.......
Well, if you wouldn't mind helping w/ one of those two-sided ones, that'd be great. Is it done the same way, just using the formula on both sides?
No....we want everything on the same side - I prefer the left side, myself
For instance....this one...
-(x^2) +1 = -5(x^2) + 4x add 5x^2 to both sides and subtract 4x from both sides
4x^2 - 4x + 1 = 0 so...a = 4 b = -4 and c = 1 (got it ???)
(Actually....I wouldn"t even use the Q formula on this one....it can be factored and solved directly.....!!!.......but if that's what they're asking you to do.....)
You have to get them all to one side an = 0 first.
eg
$$\\2(x - 3)^2 = -2x + 9\\
2(x - 3)(x-3) = -2x + 9\\
2(x^2-6x+9) = -2x + 9\\
2x^2-12x+18 = -2x + 9\\
2x^2-12x+2x+18-9 = -2x+2x + 9-9\\
2x^2-10x+9 = 0\\\\
a=2,\;\; b=-10,\;\; c=9$$
Use the quadratic formula to solve these equations
https://www.youtube.com/watch?v=ZywdPuXR0S0
nice song about quadratic formula