Mathematics
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OpenStudy (faolan):
Help?
Solve the following equation by completing the square.
6m^2 + 5m -3 = 0
10 years ago
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OpenStudy (redneckgirl101):
what do youy think it is
10 years ago
OpenStudy (redneckgirl101):
m=−5 ± 97−−√ 12
m≈0.40407148,−1.23740482
10 years ago
OpenStudy (faolan):
srry had a little meeting. i have no idea how to even do the problem @rEdNeCkGiRl101
10 years ago
OpenStudy (redneckgirl101):
i gave u the answer
10 years ago
RhondaSommer (rhondasommer):
so i would personally change m to x
10 years ago
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RhondaSommer (rhondasommer):
\[6x^2+5x-3=0\]
10 years ago
OpenStudy (faolan):
my answer need to be a fraction
10 years ago
OpenStudy (faiqraees):
@Faolan If you want an explanation on its solution let me know.
10 years ago
RhondaSommer (rhondasommer):
yup :)
10 years ago
OpenStudy (faolan):
@FaiqRaees ill take an explanantion pls
10 years ago
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RhondaSommer (rhondasommer):
i was trying to explain it to you
10 years ago
OpenStudy (faolan):
oh ok
10 years ago
RhondaSommer (rhondasommer):
^_^ you can choose; them or me; i dont mind
10 years ago
OpenStudy (faiqraees):
okay lets first start by taking 3 to the right hand side
10 years ago
OpenStudy (redneckgirl101):
it is a fraction its m=−5 ± 97−−√ over_12
10 years ago
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OpenStudy (redneckgirl101):
over -12 sorry my fault
10 years ago
RhondaSommer (rhondasommer):
Begin completing the square. Divide all terms by
6 the coefficient of the squared term
10 years ago
RhondaSommer (rhondasommer):
\[x^2 + 0.8333333333x - 0.5= 0\]
10 years ago
RhondaSommer (rhondasommer):
move the constant term (0.5) to the right
\[ x^2 + 0.83333333x - 0.5 + 0.5 = 0 +0.5\]
10 years ago
RhondaSommer (rhondasommer):
The x term is 0.8333333333x. Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.
10 years ago
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RhondaSommer (rhondasommer):
\[0.8333333333x + 0.1736111111 + x^2 = 0.5 + 0.1736111111\]
10 years ago
RhondaSommer (rhondasommer):
Combine like terms: \[0.5 + 0.1736111111 = 0.6736111111\]\[x^2 + 0.8333333333x + 0.1736111111= 0.6736111111\]
10 years ago
RhondaSommer (rhondasommer):
Factor a perfect square on the left side:
\[(x + 0.4166666667)(x + 0.4166666667) = 0.6736111111\]
Calculate the square root of the right side: \[0.82073815\]
Break this problem into two subproblems by setting
\[(x + 0.4166666667)=0.82073815~and-0.82073815\]
10 years ago
RhondaSommer (rhondasommer):
then you simplify
10 years ago
RhondaSommer (rhondasommer):
:)
\[(x+0.4166666667)=0.82073815\]\[(x+0.4166666667)=-0.82073815\]
10 years ago
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RhondaSommer (rhondasommer):
id need to see your choices to tell you what was what
10 years ago
RhondaSommer (rhondasommer):
:)
10 years ago
OpenStudy (faolan):
i dont have any answer choices.....its a fill in the blank
10 years ago
RhondaSommer (rhondasommer):
ohh lame
10 years ago
RhondaSommer (rhondasommer):
\[x^2+5/6~x−0.5=0\]
10 years ago
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RhondaSommer (rhondasommer):
\[x^2+5/6~x-0.5+0.5=0+0.5\]
10 years ago
RhondaSommer (rhondasommer):
then \[x^2+5/6~x=0.5\]
10 years ago
RhondaSommer (rhondasommer):
\[x^2 + 5/6~x=0.5\]
1/2 of 5/6 = 10/6 or 5/3
10 years ago
RhondaSommer (rhondasommer):
add 5/3 to both sides
10 years ago
OpenStudy (redneckgirl101):
i think he has the answer already
10 years ago
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RhondaSommer (rhondasommer):
yes; but he is trying to get it explained
10 years ago
RhondaSommer (rhondasommer):
whatever. ill just go. ^_^ you have your answer anyway right? you dont need my help
10 years ago
OpenStudy (faolan):
il take the explanation. then I might b able to do other problems
10 years ago
OpenStudy (faolan):
orrrrrrrrrrrrrrrrrrrrrrrrrrr
10 years ago
OpenStudy (redneckgirl101):
oh sorry
10 years ago