Explicație pas cu pas:
|x-5|=0 <=> x-5=0 =>x=5
|x-3|=4 => x-3=4 sau x-3=-4 => x=7 sau x=-1
|2x-1|=-7 (stim ca |x|>=0 ) deci x€ multimea vida
|x²-1/4| =0=> x²-1/4=0 => x²=1/4 => x1=1/2 sau x2=-1/2
|x²+3|=4=> x²+3 =4 sau x²+3=-4 => x²=1 sau x²=-7 => x1=1 sau x2=-1 (nu mai lucram cu x²=-7 deoarece avem x€ muktimea vida)
|x²-1/25|=0 => x²-1/25=0 => x²=1/25 =>x1=1/5 sau x2=-1/5
|1-2x|+|4x²-1|=0<=> 1-2x=0 SI 4x²-1=0 => 2x=1=>x=1/2 si 4x²=1=>x²=1/4=>x=+-1/2
|5x-5|+|1-x|=4 => |5(x-1)|+|-(x-1)|=4 => 5|x-1|+|x-1|=4 => 6|x-1|=4 => |x-1|=2/3 => x-1=2/3 sau x-1=-2/3 =>x=5/3 sau x=1/3