Mathematics
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OpenStudy (aaronandyson):
2x^2 - 5x - 3 = 0
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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?
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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)
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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
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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