Thread: solve the equatio
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Old November 6th, 2008, 12:32 AM
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earboth earboth is offline
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Quote:
Originally Posted by hoger View Post
abs(2x-1 -abs(x+5=3


thank you
Re-write

|2x-1|=\left\{\begin{array}{lcr}2x-1&if&x\geq\dfrac12 \\ -(2x-1)&if& x<\dfrac12\end{array}\right.

|x+5|=\left\{\begin{array}{lcr}x+5&if&x\geq-5\\ -(x+5)&if& x<-5\end{array}\right.

Combine the domains (x<-5; -5<x<1/2; x>1/2). You'll get 3 different linear equations.

The final solution is x=-\dfrac73~\vee~x=9
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