Question

Determinati numerele rationale x stiind ca:

A) |-x+1|=1\4
B)|x+1|=0
C)|x-1|=1\4

Answer 1

|-x+1|=|x-1|=1/4
 x-1=1/4....x=5/4
 x-1=-1/4........x=3/4
deci S={3/4;5/4}


B.
x+1=0..................x=-1


C) aceeasi solutia  ca la A, pt ca |y|=|-y| si 1/4>0, deci ecuatia are solutii
iar x-1= -(1-x)