solve using quadratic formula 3x^2+12x+8=0
a=3 b=12 c=8 -12±{12^2-4(3)(8)}/2(3) -12±{144-96}/2(3) -12±{48}/6
i used{} to represent square root symbol. im not sure if i did it right cos i cannot finihs it
whats the final answer?
im not sure because their is no square root of 48?
\[(-12+4\sqrt{3})/6\] and \[(-12-4\sqrt{3})/6\]
4 square roots of thre is equal to 48?
how do i solver for those next two equations then?
finally you will get \[(-6+2\sqrt{3})/3\] and \[(-6-2\sqrt{3})/3\]
yup\[4\sqrt{3}=\sqrt{48}\]
(−6+2√3)/3=(−2+2√3)/1 (−6−2√3)/3=(−2−2√3)/1
nope
well hwat should i have done
Sorry I was at lunch. Let me take a look
Ok starting from what you had here: \[\frac{-12 \pm \sqrt{48}}{6}\]\[=-\frac{12}{6} \pm \frac{4\sqrt{3}}{6}\]\[=-2 \pm \frac{2\sqrt{3}}{3}\]
ok
So I find it is often easier to break the fraction up into two then simplify each part
ok
hello?:(
hello what? Did you have another question?
how do i finish the problem?
polpak's answer is better than mine
whats the answer? im so confused
both are correct
those arent the answers thoguh usually its x= # or #
One is the + version. One is the - version.
\[-2+(2\sqrt{3}/3)\] and \[-2-(2\sqrt{3}/3)\]
\[x = -2 + \frac{2\sqrt{3}}{3}\]or\[x = -2 - \frac{2\sqrt{3}}{3}\] That's what\[x=-2\pm \frac{2\sqrt{3}}{3}\] means
i entered x= -2+2√3/3 or -2-2√3/3 and it was incorrect
Dunno what to tell you, those are the right answers. Could also look like: \[\frac{2}{3}(-3 +\sqrt{3})\] and \[\frac{2}{3}(-3 -\sqrt{3})\]
hmm ok well thanks anyway i guess
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