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Mathematics 7 Online
OpenStudy (anonymous):

how to do quadratic equations???

Parth (parthkohli):

By solving them.

Parth (parthkohli):

Just kidding, what do you want to solve?

OpenStudy (anonymous):

this always works \[x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}\]

Parth (parthkohli):

basically, a quadratic equation is in the form of: \(\Large \color{MidnightBlue}{\Rightarrow ax^2 + bx + c = 0 }\)

Parth (parthkohli):

@NotSObright make it simple, silly :)

OpenStudy (anonymous):

Other methods -Factorization -Completing Squares

Parth (parthkohli):

First, you have to factor by grouping.

Parth (parthkohli):

Factoring is a very easy method.

OpenStudy (anonymous):

example: n^2 = -4n + 21

OpenStudy (anonymous):

@ParthKohli I don't really get nerd jokes so knock it off

Parth (parthkohli):

Okay, @mathismyworstsubject First, get it in the general form like I posted.

Parth (parthkohli):

Bring all the things in one side and 0 on the other.

OpenStudy (anonymous):

\[x=-b \pm \sqrt{b*b-4ac}diva2\] is the general eqn

OpenStudy (anonymous):

Use factorization split middle term so that the nos when multiply to give the constant term 4 as 7 -3 because 7*-3=-21

OpenStudy (anonymous):

this is too hard. im doing the x box method. bye!

Parth (parthkohli):

\(\Large \color{MidnightBlue}{\Rightarrow n^2 + 4n - 21 = 0 }\) \(\Large \color{MidnightBlue}{\Rightarrow n^2 + 7n - 3n - 21 = 0 }\) \(\Large \color{MidnightBlue}{\Rightarrow n(n + 7) - 3(n + 7) = 0 }\) \(\Large \color{MidnightBlue}{\Rightarrow (n - 3)(n + 7) = 0 }\) We know that a number multiplied by another number is 0. So, either n - 3 = 0 or n + 7 = 0 n = = 0 + 3 = 3 OR n = 0 - 7 n = -7

OpenStudy (anonymous):

I'd prefer the quadratic equation anytime over factoring! It's super fast and easy:)

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