y = ax^2 + bx + c Determine the solution set of 0 = ax^2 + bx + c. is it {-2} ?
do you know how to calculate the solution set?
i yesterday posted solution o the same problem. you can check it here http://openstudy.com/study#/updates/5015fdf9e4b0fa246733cc56
It is actually a lot more related to the quadratic formula.
In a quadratic equation \(ax^2 + bx + c = 0\), there are two roots. Do you know the quadratic formula?
@helpme9283 did you get it?
Remember: the two roots are given as follows. \[\alpha = {-b + \sqrt{b^2 - 4ac} \over 2a} \] \[\beta = {-b - \sqrt{b^2 - 4ac}\over 2a} \]
Does that give you a nice hint?
here it is when y=0 ax^2+bx+c=0 then using by completing square method solution is as follows.
Solution set consists of numbers that are solutions. For example, if 2 and 3 are the solutions, then the solution set it \((2,3)\).
What are the solutions that I gave you?
2&3
No. What are the solutions that I gave you for \(ax^2 + bx + c = 0\)?
i didnt get it..
Read the post where I mentioned alpha and beta.
this is the solution set. \[\Large [{\frac{-b+\sqrt{b^2-4ac}}{2a}} ,{\frac{-b-\sqrt{b^2-4ac}}{2a}}]\]
Oh-oh.
or : \[\LARGE{roots=\frac{-b\pm \sqrt{b^2-4ac}}{2a}}\]
But that is not the solution set.
@sami-21 Is right, but should consider not posting answers :)
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