Question

m)
1, (2)
11x
21
2, (3)
;
n)
1,(6)
0,2(5)
15
2,3x

Doar m si n va rogg

Answer 1

Răspuns:

m)  $x = \frac{1}{81}$

n)  $x = 1$

Explicație pas cu pas:

m)

$\frac{1,(2)}{11x} = \frac{21}{2,(3)}$

$21*11x = 1,(2) * 2,(3)$ - produsul mezilor = produsul extremilor

$231x = \frac{11}{9} *\frac{21}{9}$

$231x = \frac{231}{81}$

$x = \frac{1}{81}$

n)

$\frac{1,(6)}{0,2(5)} = \frac{15}{2,3x}$

$1,(6)*2,3x = 0,2(5)*15$

$\frac{15*2,3x}{9} = \frac{23*15}{90}$

$\frac{34,5x}{9} = \frac{345}{90}$

$10*34,5x = 345$

$345x = 345$

$x = \frac{345}{345} = 1$