allie_bear22
what are the solutions to 6x^2=18x?
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Euler271
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you can divide both sides by 6x since they have that in common
whpalmer4
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What do you get if you divide both sides by any common factors?
allie_bear22
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this is what i got when i did the problem x=0, x=-3 @whpalmer4 @Euler271
radar
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Are you sure about the sign in x=-3
allie_bear22
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no i ment 3
radar
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|dw:1369421161689:dw|
radar
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More better
allie_bear22
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thank you
radar
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You are welcome, good luck.
whpalmer4
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More more better:
\[6x^2 - 18x = 0\]\[6x(x-3) = 0\]\[6x = 0\]\[x-3= 0\]
allie_bear22
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so the 3 is negitive?
radar
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No when solving x-3=0 you would add 3 to both sides of the equal sign getting:
x=3
radar
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|dw:1369421554316:dw|
radar
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|dw:1369421678905:dw|
radar
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|dw:1369421748128:dw|
whpalmer4
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One thing that we haven't exactly made clear here: if you did just divide both sides by 6x as suggested at first:
\[6x^2 = 18x\]\[x=3\]You might get the impression that your work is done. However, there's an important thing to know, which is if your polynomial has \(x^n\) as its highest power, you must have \(n\) solutions! Some of them may be identical, but you will have that many. That would be a clue here that \(x=3\) isn't the entire story.