Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - Chapter Test - Page 707: 24


Undefined solution for $m=3$

Work Step by Step

Given: $\dfrac{m}{m-3}+\dfrac{1}{4}=\dfrac{m}{m-3}$ When he puts $m=3$, the equation does not satisfied which makes the denominator equals to $0$. That is, $\dfrac{m}{m-3}+\dfrac{1}{4}=\dfrac{m}{m-3}$ $\dfrac{3}{3-3}+\dfrac{1}{4}=\dfrac{3}{3-3}$ $\dfrac{3}{0}+\dfrac{1}{4}=\dfrac{3}{0}$ This represents an undefined solution for $m=3$
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