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# the product of the values of a for which |5a-4|=a is true is

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the product of the values of a for which |5a-4|=a is true is

Nov 7, 2018

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$$|5a-4|=a \Rightarrow (5a-4)=a \text{ or }4-5a=a\\ 5a-4=a\\ 4a=4\\ a=1\\ \\ 4-5a=a\\ 4=6a\\ a = \dfrac 2 3\\ 1 \cdot \dfrac 2 3 = \dfrac 2 3$$

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Nov 7, 2018

$$|5a-4|=a \Rightarrow (5a-4)=a \text{ or }4-5a=a\\ 5a-4=a\\ 4a=4\\ a=1\\ \\ 4-5a=a\\ 4=6a\\ a = \dfrac 2 3\\ 1 \cdot \dfrac 2 3 = \dfrac 2 3$$