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OpenStudy (emilyjones284):
Ill give a medal and fan everyone who gives an answer...posted below (:
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OpenStudy (emilyjones284):
\[\frac{ 1 }{ 2} +\frac{ 3 }{ 2d }= \frac{ -1 }{ d }\]
OpenStudy (zzr0ck3r):
multiply every term by 2d and tell me what you have
OpenStudy (zzr0ck3r):
d+3=-2
d=-5
OpenStudy (emilyjones284):
wait im confused on the multiplying
OpenStudy (emilyjones284):
what would 1/2 times 2d be?
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OpenStudy (zzr0ck3r):
2d(1/2)+2d(3/2d)=2d(-1/d)
the two cancel in the first term
the 2d cancels in the second
and the d cancels in the third
d+3=-2
OpenStudy (nurali):
1/2+3/2d=-1/d
1*2d+3*2/2*2d=-1/d
2d+6/4d=-1/d
Cross Multiply
2d^2+6d=-4d
2d^2+6d+4d=0
2d^2+10d=0
2d(d+5)=0
2d=0 or d+5=0
d=0 or d=-5
OpenStudy (zzr0ck3r):
of course d cant equal 0
OpenStudy (zzr0ck3r):
there is no reason to bring square terms in
simply multiply everything by 2d
d+3=-2
cant get any easier
OpenStudy (emilyjones284):
oh ok i got it thank you (: how do you know what the lcd is?
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OpenStudy (zzr0ck3r):
you have denominators of 2,d,2d
OpenStudy (zzr0ck3r):
so you find something that all three of those divides
2d is that something
OpenStudy (emilyjones284):
why couldnt it be d?
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