Mathematics
8 Online
OpenStudy (anonymous):
Which of the following is a solution of 3x2 = 7x - 3?
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OpenStudy (anonymous):
A. \[\frac{ -7\pm \sqrt{13} }{6 }\]
B. \[\frac{ 7\pm \sqrt{85} }{6 }\]
C. \[\frac{ -7\pm \sqrt{85} }{6 }\]
D. \[\frac{ 7\pm \sqrt{13} }{6 }\]
OpenStudy (kidrah69):
We need an abc value first turn this into standard form
OpenStudy (anonymous):
I don't know how to do that. Can you help me?
OpenStudy (kidrah69):
Ok this is standard form
\[ax^2+bx+c=0\]
OpenStudy (kidrah69):
here you will need to subtract 3x^2
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OpenStudy (kidrah69):
what will your equation look like now?
OpenStudy (anonymous):
\[0 = 7x -3 - 3x^2\]
OpenStudy (anonymous):
@kidrah69
OpenStudy (kidrah69):
Ok so now what are your abc values?
OpenStudy (anonymous):
a=3 b=7 and c =-3
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OpenStudy (kidrah69):
nope
OpenStudy (anonymous):
oops. a=-3 too
OpenStudy (kidrah69):
yep
OpenStudy (anonymous):
oh
OpenStudy (kidrah69):
relist the abc values now :)
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OpenStudy (kidrah69):
\[x= \frac{ -b ± \sqrt(b^2 - 4ac) }{ 2a }\]
OpenStudy (kidrah69):
Thats the quadratic formula
OpenStudy (kidrah69):
Now all we do is plug in the values
OpenStudy (kidrah69):
Here since you may not know how...
\[x= \frac{ -(7) ± \sqrt((7)^2 - 4(-3)(-3)) }{ 2(-3) }\]
OpenStudy (kidrah69):
The rest you just have to solve
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OpenStudy (anonymous):
Ok. I'll try to simplify. If I have a hang up can I tag you?
OpenStudy (kidrah69):
yes :)
OpenStudy (anonymous):
Ok. So I solved that one but I'm stuck on another.
OpenStudy (anonymous):
I've gotten to the point of \[x = \frac{ -8\pm \sqrt{120} }{ 4 }\]
OpenStudy (kidrah69):
Ok wait the c value is positive
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OpenStudy (kidrah69):
give me a oment i will type in the work
OpenStudy (anonymous):
But the choices are \[-2 \pm \sqrt{2}\]
\[-2 \pm2\sqrt{2}\]
OpenStudy (anonymous):
and 2 others. how do i simplify further
OpenStudy (kidrah69):
get it?
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OpenStudy (anonymous):
I get it but it's telling me that I need to simplify more. I don't know where to go.
OpenStudy (anonymous):
@kidrah69
OpenStudy (kidrah69):
hmmm
OpenStudy (kidrah69):
Oh you need to solve it too?
OpenStudy (anonymous):
The original was 7+2x^2 - 8x = 0
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OpenStudy (anonymous):
After using the quadratic formula I got \[x = \frac{ -8\pm \sqrt{120} }{ 4 } \]
OpenStudy (kidrah69):
Why didnt you post that?
OpenStudy (kidrah69):
Whats the origional problem? :/
OpenStudy (anonymous):
One sec. Lemme start in a new question to start over and so that I can give you another best response.