✔ 最佳答案
1) |x| + 9 = 8
|x|=-1
the equation has no roots since|x|≧0 for all x
2) | (3 + 2x)/(5x - 8)|= 2 / 5
(3 + 2x)/(5x - 8)=2/5 or (3 + 2x)/(5x - 8) =-2/5
5(3+2x)=2(5x-8) or 5(3+2x)=2(8-5x)
15+10x=10x-16 or 15+10x=16-10x
15=-16 (no solution) or 20x=1
x=1/20
3) x^2 - |x| - 12 = 0
|x|^2-|x|-12=0 (x^2=|x|^2)
(|x|+3)(|x|-4)=0
|x|=-3 (rejected) or |x|=4
x=4 or x=-4