Răspuns:
Explicație pas cu pas:
a) x = √5(1 -2/3 -3/4) = √5(12-8-9)/12 = -5√5/12
2,(27) = (227-2)/99 = 225/99, 0,2(6) = (26-2)/90 = 24/90
y = √5(1/(125/100) +1/(6/9) + 1(225/99) - 1/(24/90)) =
√5(100/125 + 9/6 + 99/225 - 90/24) =
√5(4/5 + 3/2 + 99/225 - 15/4) =
√5( (32 +60 - 150)/40 + 99/225) =
√5( 121/20 + 99/225) = 11/5*√5( 11/4 - 9/45) =
11/5*√5(45*11 - 4*9)/180 = 11/5*√5*459/180 =
11/5*√5*51/20 = 561√5/100
x -y = -5*√5/12 - 561*√5/100 =
√5( -5/12 - 561/100) = √5( -500 -6732)/1200=
√5*(-7232)/1200 = -√5*452/75
O mizerie de exercitiu !
