# Getting to the root of the equation

• October 14th 2012, 04:17 PM
M670
Getting to the root of the equation
The equation http://webwork.mathstat.concordia.ca...dc237159c1.png has two roots. Find the smaller and larger one?

so I came up with 2x2e-5x(3-3x)=0

Just not sure where to go from here?
• October 14th 2012, 04:35 PM
TheEmptySet
Re: Getting to the root of the equation
Quote:

Originally Posted by M670
The equation http://webwork.mathstat.concordia.ca...dc237159c1.png has two roots. Find the smaller and larger one?

so I came up with 2x2e-5x(3-3x)=0

Just not sure where to go from here?

You need to use the zero product principle. This would give

$2x^2=0 \quad e^{-5x}=0 \quad 3-3x=0$

Only two of these equations have solutions.