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  • 15-10-2016
  • Mathematics
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(Algebra II) Solve the equation. Check for extraneous solutions.

9|9 – 8x|= 2x + 3

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SJ2006
SJ2006 SJ2006
  • 15-10-2016

9|9-8x|=2x+3 

As there is mod, there would be two solutions, one for +ve value and other for -ve value....It will lead into either
 
1) 9(9-8x)=2x+3   OR
 2) 9(9-8x)=-(2x+3)
Now,
1)9(9-8x)=2x+3
81-72x=2x+3
74x=78
x=39/37

2)9(9-8x)=-(2x+3)
81-72x=-2x-3
70x=84
x=6/5 

So, x would be either 39/37 or 6/5

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