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

Question 1148483: What is the product of the values of a for which |5a-4|=a is true?
Answer by ikleyn(52863) (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     =  = .


The product of these values,  1  and  ,  is  .    ANSWER

Solved.

RELATED QUESTIONS
The product of the values of "a" for which |5a-4| = "a" is true is A)-2/3 B)2/3 C)-1 2/3 (answered by josgarithmetic)

For what values of a is the equation /a/=6 true (answered by tinbar)

The number of values of a for which [(a^2)-3a+4](x^2) + [(a^2)-5a+6]x + [(a^2)-4]=0 is (answered by KMST)

The expression 5a+3b=46 for what values of a and... (answered by lola_fish99,Alwayscheerful)

-5a over 2=75 what is the value of a... (answered by Fombitz)

find the number a for which x=2 is a solution of the given equation.... (answered by mananth)

Five times a interger is multiplied by the sum of that interger and 6. If the product... (answered by Fombitz)

Discuss whether the statement, (x + y)3 is equivalent to x^3 + y^3, is true or not. (answered by Fombitz)

Find the values of x for which the equation sin x=-1 is true a. 2Pin b. Pi/n +2Pin... (answered by stanbon)