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Mathematics 21 Online
OpenStudy (aaronandyson):

2x^2 - 5x - 3 = 0

OpenStudy (aaronandyson):

@thomas5267

OpenStudy (unklerhaukus):

\[ax^2+bx+c=0\] Apply the quadratic formula \[x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\]

OpenStudy (aaronandyson):

Umm? I can only use the formula when its mentioned in the question,Over here it's not so I HAVE to factor it.

OpenStudy (unklerhaukus):

oh, ok

OpenStudy (unklerhaukus):

\[2x^2-5x-3=0\] the factored form will have to be some thing like this \[(2x+\dots)(x+\dots)=0\] right?

OpenStudy (aaronandyson):

???

OpenStudy (aaronandyson):

Is x = 3?

OpenStudy (unklerhaukus):

that is one of the solutions

OpenStudy (aaronandyson):

and -1/2?

OpenStudy (unklerhaukus):

yes, (im not sure how you got them, though)

OpenStudy (unklerhaukus):

So what is the factored form of the equation?

OpenStudy (aaronandyson):

(2x - 1)(x - 3) = 0

OpenStudy (unklerhaukus):

almost, but not exactly

OpenStudy (unklerhaukus):

notice how -1 times -3 would give +3

OpenStudy (unklerhaukus):

we want -3, so they can't both be negative signs

OpenStudy (aaronandyson):

Oops ,.Typo it's (2x + 1)

OpenStudy (aaronandyson):

Can you help me a bit more? And Thanks.

OpenStudy (unklerhaukus):

yep!, but how did you find those solutions, did you perform long division or something?

OpenStudy (aaronandyson):

My methods(They are valid according to my teacher) And what's "long division"???

OpenStudy (unklerhaukus):

never mind "long division", it's horrible

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