Multiple solutions on an algebraic equation with one variable?

Jun 03, 2009 11:00

Okay, this was a question on my math exam today that completely baffled me.
Find three solutions to this equation and graph it:

8 - 2x = 0

Okay, how do you find three solutions to that? I'd understand if there were two variables, but there's only x.

The work. )

beginning algebra, algebra

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Comments 6

misteral June 3 2009, 19:08:46 UTC
There is definitely, categorically and absolutely only one solution to the equation you've written, namely the one you've identified, x = 4.

Are you sure you've written out the question exactly as it was presented to you?

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killertofu June 3 2009, 19:14:52 UTC
Completely positive. I wrote it out four times and still have my scratch paper. I quadruple-checked to make sure it WASN'T an inequality. There was definitely only one variable. I even talked to two other people who were doing the same exam as me (she creates two versions) and they agreed that it was written as [8 - 2x = 0]. D:

Thanks muchly. I thought I was being stupid for a minute. :P

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hatfarm June 3 2009, 19:56:33 UTC
The only thing I can think of is maybe the teacher meant y=8-2x? That'd be super easy to solve, and get 3 different answers. There is no other answer than x=4 otherwise.

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yady June 3 2009, 20:13:01 UTC
y=8-2x has infnitely many answers. But yeah, as the question is also 'graph it',that would make sense.

It could also be 8 - 2x^3 = 0, or something like that.

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notmrgarrison June 3 2009, 20:47:22 UTC
Perhaps the context is "Find all points (x,y) such that 8-2x = 0"

In that case, (4,1), (4,2), (4, whatever) are all solutions.

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