Equation Involving Absolute Value?
Solve |x+|3x-2|| = 2
Solution:
Solution:
|x+|3x-2|| = 2
x^2+2x|3x-2|+9x^2-12x+4= 4
10x^2-12x+2x|3x-2|=0
2x(5x-6+|3x-2|)=0
x=0 or (5x-6+|3x-2|)=0
x=0 or |3x-2|=6-5x
x=0 or 3x-2=6-5x or 2-3x=6-5x
x=0 or x=1 or x=2(rejected)
x^2+2x|3x-2|+9x^2-12x+4= 4
10x^2-12x+2x|3x-2|=0
2x(5x-6+|3x-2|)=0
x=0 or (5x-6+|3x-2|)=0
x=0 or |3x-2|=6-5x
x=0 or 3x-2=6-5x or 2-3x=6-5x
x=0 or x=1 or x=2(rejected)
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