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 tangosix March 2nd, 2010 09:33 AM

stumped

0 = 3x^2 - x

 greg1313 March 2nd, 2010 10:20 AM

Re: stumped

One solution is x = 0.
If x is not zero then
0 = 3x^2 - x
x = 3x^2
1 = 3x
x = 1/3.

 masters March 2nd, 2010 10:39 AM

Re: stumped

Quote:
 Originally Posted by tangosix 0 = 3x^2 - x
Hi tangosix,

Another way to approach this exercise is to factor the quadratic side of the equation.

$3x^2-x=0$

$x(3x-1)=0$

Now, recalling the 'zero product property': If ab = 0, then a = 0 or b = 0.

$x=0 \ \ or \ \ 3x-1=0$

$x=0 \ \ or \ \ x=\frac{1}{3}$

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