Question

Solutia rationala a ecuatiei x- 0,(6) = 0,1(3)
Faceti complet , va rog

Answer 1

x-6/9=13-1/90
x=12/90+6/9 se face numitor comun a doua se amplifica cu 10
x=12/90-60/90
x=12-60/90 totul supra 90
x=-48/90 simplificam cu 2
x=-24/45 simplificam cu 3
x=-8/15

Answer 2

0,(6)=6/9, 0,1(3)=(13-1)/90=12/90

$x-\frac{6 ^{(3} }{9}= \frac{12^{(6} }{90}$

$x- \frac{2}{3}= \frac{2}{15}$

aducem la numitor comun, amplificam pe x cu 15 si 2/3 cu 5
$\frac{15x}{15}- \frac{10}{15}= \frac{2}{15}$

15x-10=2
15x=2+10
15x=12
x=$\frac{12 ^{(3} }{15}$
x=$\frac{4}{5}$