Mathematics
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OpenStudy (anonymous):
solve for x
(x-2)/(x+5) = (x+2)/(x+3)
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OpenStudy (anonymous):
cross multiply and post what you get
OpenStudy (anonymous):
if I cross multiply then I get 6/10 or 2/5
OpenStudy (anonymous):
but I am pretty sure you don't just cross multiply
OpenStudy (anonymous):
not quite
OpenStudy (anonymous):
actually you do cross multiply
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OpenStudy (anonymous):
exactly my point. I don't understand so I need help. I am sure you do, but there has to be more too it.
OpenStudy (saifoo.khan):
(x-2) (x+2)
----- = ---------
(x+5) (x+3)
OpenStudy (saifoo.khan):
Cross multiply.
OpenStudy (anonymous):
Cross multiply is voodoo, but I suppose it helps some people remember
OpenStudy (anonymous):
okay, well this is what we will do: (x-2)(x+3)=x^2+x-6
(x+2)(x+5)=x^2+7x+10
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OpenStudy (anonymous):
i did cross multiply and got the wrong answer
OpenStudy (anonymous):
vjay, stop that.
OpenStudy (anonymous):
now: x^2+x-6=x^2+7x+10
OpenStudy (anonymous):
now subtract x^2 from both sides
OpenStudy (saifoo.khan):
(x-2) (x+3) = (x+2)(x+5)
x^2 +3x - 2x - 6 = x^2 + 5x + 2x + 10
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OpenStudy (anonymous):
subtract 10 from both sides
OpenStudy (anonymous):
then subtract x from both sides
OpenStudy (anonymous):
you should be left with : -16=6x
OpenStudy (anonymous):
divide both sides by 6 and get: -16/6=x, which simplifies to -8/3 =x
OpenStudy (anonymous):
satified?
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OpenStudy (saifoo.khan):
Now shuffle,
x^2 +3x - 2x - 6 = x^2 + 5x + 2x + 10
x -7x = 10 + 6
-6x = 16
x = -16/6
OpenStudy (saifoo.khan):
Finally,
x = -8/3
OpenStudy (anonymous):
thank you everyone.