neverforgetvivistee
when you're subtracting rationals, do you make it into a plus sign and make EVERYTHING in the numerator of the second negative, or just make 1 number negative?
for examples
x-1 4x+2
---- - -----
x(x-3) x(x-3)
would you make it into a plus sign, and then make 4x and 2 negative?
-4x-2
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anonymous
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yes
neverforgetvivistee
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in the other equation you did how did you get positive 2?
neverforgetvivistee
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the last one you answered
anonymous
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\[\frac{x-1-(4x+2)}{x(x-3)}\]
\[\frac{x-1-4x-2}{x(x-3)}\] etc
anonymous
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well in the last one you caught me in a dumb algebra mistake that is why!
anonymous
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should be
\[\frac{x+2}{x}=\frac{x-1}{x}-\frac{4x+2}{x(x-3)}\]
\[(x+2)(x-3)=(x-1)(x+3)-4x-2\]
\[x^2-x-6 = x^2-2 x-5\]
\[-x-6=-2x-5\]
\[x=1\]
neverforgetvivistee
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wait what? i get x^2-x-6=x^2-8x+1
i keep on looking it over but i can't figure it out darn it
anonymous
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oh man did i mess up again? hold on
neverforgetvivistee
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ok so,
(x-3) and (x+2) equal x^2-x-6.
(x-1) and (x-3) euqlas x^2-4x+3.
then when i combine them
x^2-x-6=x^2-4x+3x-4x-2
anonymous
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ok now you have caught me in two mistakes, so i am going to quit.
you are right it is
\[(x+2)(x-3)=(x-1)(x-3)-4x-2\]
neverforgetvivistee
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then i combine like terms and get x^2-x-6=x^2-8x+1
neverforgetvivistee
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no please don't this is a very confusing problem lol
neverforgetvivistee
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then i get 2x^1+7x+7
anonymous
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ok but i am making mistake after mistake. lets see what we get now
anonymous
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did you get
\[x^2-x-6 = x^2-8 x+1\]?
anonymous
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ok subtract
\[x^2\] from both sides
anonymous
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let me know what you get
anonymous
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what happened to your equal sign?
neverforgetvivistee
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oh wait let me do this again
anonymous
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\[x^2-x-6 = x^2-8 x+1\]
\[\cancel{x^2}-x-6=\cancel{x^2}-8x+1\]
\[-x-6=-8x+1\]
neverforgetvivistee
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I GOT THE RIGHT ANSWER THANK YOU!!!!!!!!!!!!!! FINALLY THIS PROBLEM IS THE WORST THANK YOU!!!!!!!!!!!!!
neverforgetvivistee
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took forever!!!!!!!
anonymous
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yw. now i have a question. what is vivistee?
neverforgetvivistee
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my cat that ran away
neverforgetvivistee
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listen thanks alright? my gosh that problem was so confusing and frustrating
neverforgetvivistee
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it's finally over now :"}
neverforgetvivistee
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i'm going to write that one down in my notes
anonymous
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glad you got it, sorry about your cat