Решите уравнения: a) 1/2x+1/4x+1/8x+1/16x=1-17\16x b) 1/2x+1/4x+1/8x+1/16x=3-33/16x c) 1/2x+1/4x+1/8x+1/16x=5-49/16x d) 1/2x+1/4x+1/8x+1/16x=2-81/16x умоляю !
ну если х в числителе то: a) 1/2x+1/4x+1/8x+1/16x=1-17\16x приводим к общему знаменателю 16 8\16х+4\16х+2\16х+1\16х=1-17\16х 15\16х=1-17\16х 15\16х+17\16х=1 32\16х=1 2х=1 х=0,5
b) 1/2x+1/4x+1/8x+1/16x=3-33/16x 15\16х= 3-33/16х 15\16х+33/16х=3 48/16х=3 3х=3 х=1
1\2х+1\4х+1\8х+1\16х+17\16х=1
8\16х+4\16х+2\16х+1\16х+17\16х=1
32\16х=1
х=1:32\16
х=1*16\32
х=16\32
х=1\2
b) 1/2x+1/4x+1/8x+1/16x=3-33/16x
1\2х+1\4х+1\8х+1\16х+33\16х=3
8\16х+4\16х+2\16х+1\16х+33\16х=3
48\16х=3
х=3:48\16
х=3*16\48
х=1
c) 1/2x+1/4x+1/8x+1/16x=5-49/16x
1\2х+1\4х+1\8х+1\16х+49\16х=5
8\16х+4\16х+2\16х+1\16х+49\16х=5
64\16х=5
х=5:64\16
х=5*16\64
х=5\4
х=1 1\4
d) 1/2x+1/4x+1/8x+1/16x=2-81/16x
1\2х+1\4х+1\8х+1\16х+81\16х=2
8\16х+4\16х+2\16х+1\16х+81\16х=2
96\16х=2
х=2:96\16
х=2*16\96
х=1\3
a) 1/2x+1/4x+1/8x+1/16x=1-17\16x
приводим к общему знаменателю 16
8\16х+4\16х+2\16х+1\16х=1-17\16х
15\16х=1-17\16х
15\16х+17\16х=1
32\16х=1
2х=1
х=0,5
b) 1/2x+1/4x+1/8x+1/16x=3-33/16x
15\16х= 3-33/16х
15\16х+33/16х=3
48/16х=3
3х=3
х=1