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OpenStudy (anonymous):
Steps to solve: 3X^2+9x+6=0
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OpenStudy (lgbasallote):
divide each term by 3 first. it will make your life easier
OpenStudy (anonymous):
Done that - would using the quadratic formula make it easier - is there another way to do it without using quadratic formula
OpenStudy (lgbasallote):
sure why not
OpenStudy (lgbasallote):
though you may want to know it's facctorable
OpenStudy (lgbasallote):
but yeah...to be sure quadratic formula may be better
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OpenStudy (mimi_x3):
\[3x^{2}+9x+6\]
\[3(x^2+3x+2)\]
a*b = 2 * 1
a+ b = 2+1
\[ 3(x+1)(x+2)\]
OpenStudy (lgbasallote):
you can just get rid of the 2 @Mimi_x3 lol
OpenStudy (lgbasallote):
why waste latex :p
OpenStudy (mimi_x3):
what 2?
OpenStudy (anonymous):
so if you were doing it without the quadratic formula what would be the steps to doing it ?
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OpenStudy (lgbasallote):
i meant 3
OpenStudy (mimi_x3):
how do you get rid of it?
OpenStudy (lgbasallote):
like i said divide by 3 so you ended up with x^2 + 3x + 2 right?
OpenStudy (lgbasallote):
so a = 1
b = 3
c = 2
OpenStudy (mimi_x3):
lol woops i forgot about the 0
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OpenStudy (lgbasallote):
\[x = \frac{-3 \pm \sqrt{(3)^2 - 4(1)(2)}}{2(1)}\]
\[x = \frac{-3 \pm \sqrt{9 - 8}}{2}\]
\[x = \frac{-3 \pm \sqrt 1}{2}\]
\[x = \frac{-3 \pm 1}{2}\]
OpenStudy (lgbasallote):
so \[x = \frac{-3 + 1}{2} \; ;\; \frac{-3 - 1}{2}\]
\[x = \frac{-2}{2} \; ;\; \frac{-4}{2}\]
OpenStudy (anonymous):
Thank you! - i understand now - i had made a mistake right up in the begining which is why i got it wrong. Thanks
OpenStudy (lgbasallote):
you're welcome :D
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