Question

Решите уравнения:a) 1/2x+1/4x+1/8x+1/16x=1-1716x
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 помогите!!!

Answer 1

ну если х в числителе то:
a) 1/2x+1/4x+1/8x+1/16x=1-1716x
приводим к общему знаменателю 16
816х+416х+216х+116х=1-1716х
1516х=1-1716х
1516х+1716х=1
3216х=1
2х=1
х=0,5

b) 1/2x+1/4x+1/8x+1/16x=3-33/16x
1516х= 3-33/16х
1516х+33/16х=3
48/16х=3
3х=3
х=1

Answer 2

b) 1/2x+1/4x+1/8x+1/16x=3-33/16x

Answer 3

a) 1/2x+1/4x+1/8x+1/16x=1-1716x
12х+14х+18х+116х+1716х=1
816х+416х+216х+116х+1716х=1
3216х=1
х=1:3216
х=1*1632
х=1632
х=12

b) 1/2x+1/4x+1/8x+1/16x=3-33/16x
12х+14х+18х+116х+3316х=3
816х+416х+216х+116х+3316х=3
4816х=3
х=3:4816
х=3*1648
х=1

c) 1/2x+1/4x+1/8x+1/16x=5-49/16x
12х+14х+18х+116х+4916х=5
816х+416х+216х+116х+4916х=5
6416х=5
х=5:6416
х=5*1664
х=54
х=1 14

d) 1/2x+1/4x+1/8x+1/16x=2-81/16x
12х+14х+18х+116х+8116х=2
816х+416х+216х+116х+8116х=2
9616х=2
х=2:9616
х=2*1696
х=13

Answer 4

спасибо