SOLUTION: What is the product of the values of a for which |5a-4|=a is true?

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Question 1148483: What is the product of the values of a for which |5a-4|=a is true?
Answer by ikleyn(52863) About Me  (Show Source):
You can put this solution on YOUR website!
.

One such a value of "a" comes from the equation


    5a - 4 = a

    5a - a = 4

    4a     = 4

      a    = 4/4 = 1.



Other such a value of "a" comes from the equation


     5a - 4 = -a

     5a + a = 4

     6a     = 4

      a     = 4%2F6 = 2%2F3.


The product of these values,  1  and  2%2F3,  is  2%2F3.    ANSWER

Solved.