Mathematics
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OpenStudy (lifeisadangerousgame):
DId I answer this correctly?
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OpenStudy (lifeisadangerousgame):
Hold on have to write the equation...
OpenStudy (lifeisadangerousgame):
expression*
OpenStudy (lifeisadangerousgame):
\[6x ^{2} + x - 12d/3x ^{2} + 14x - 24\]
OpenStudy (lifeisadangerousgame):
6x2 + x - 12 ---> (2x + 3)(3x - 4) (cross out 3x - 4) ----> 2x + 3
______________ _________________ _________
3x2 + 14x - 24 ----> (x + 3)(3x - 4) (cross out 3x -4) ----> x + 3
x ≠ -3
myininaya (myininaya):
\[\frac{6x^2+x-12}{3x^2+14x-24} ?\]
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OpenStudy (lifeisadangerousgame):
yea :P I don't know how to do that... :P
myininaya (myininaya):
It is okay. Let me check your work...
OpenStudy (lifeisadangerousgame):
I have to Simplify the expression and identify the restrictions
myininaya (myininaya):
The bottom factorization does not seem to be correct!
However your top is awesome! :)
myininaya (myininaya):
You do know that 3(-4) is not -24 right?
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OpenStudy (lifeisadangerousgame):
Oh sorry! I made a mistake, the bottom should be (3x -4)(x + 6)
OpenStudy (lifeisadangerousgame):
Yes :P
myininaya (myininaya):
Perfect factorization :)
myininaya (myininaya):
So we have
\[\frac{(2x+3)(3x-4)}{(3x-4)(x+6)}\]
myininaya (myininaya):
Now you cancel something assuming x doesn't equal what number?
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OpenStudy (lifeisadangerousgame):
well I canceled out 3x -4 on the top and 3x - 4 on the bottom
myininaya (myininaya):
right assuming 3x-4 does not equal 0
or 3x does not equal 4
or x does not equal 4/3
:)
OpenStudy (lifeisadangerousgame):
Ohh right! I forgot about those two!
myininaya (myininaya):
So yeah we would have
\[\frac{2x+3}{x+6} , x \neq \frac{4}{3}\]
myininaya (myininaya):
Great job @LifeIsADangerousGame
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OpenStudy (lifeisadangerousgame):
Thanks!