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allie_bear22
 2 years ago
what are the solutions to 6x^2=18x?
allie_bear22
 2 years ago
what are the solutions to 6x^2=18x?

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Euler271
 2 years ago
Best ResponseYou've already chosen the best response.0you can divide both sides by 6x since they have that in common

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.1What do you get if you divide both sides by any common factors?

allie_bear22
 2 years ago
Best ResponseYou've already chosen the best response.0this is what i got when i did the problem x=0, x=3 @whpalmer4 @Euler271

radar
 2 years ago
Best ResponseYou've already chosen the best response.2Are you sure about the sign in x=3

radar
 2 years ago
Best ResponseYou've already chosen the best response.2You are welcome, good luck.

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.1More more better: \[6x^2  18x = 0\]\[6x(x3) = 0\]\[6x = 0\]\[x3= 0\]

allie_bear22
 2 years ago
Best ResponseYou've already chosen the best response.0so the 3 is negitive?

radar
 2 years ago
Best ResponseYou've already chosen the best response.2No when solving x3=0 you would add 3 to both sides of the equal sign getting: x=3

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.1One 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.
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