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)...

Question

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 помогите!!!

Answer 1

A) 1/2x+1/4x+1/8x+1/16x=1-17\16x
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

Comments

32\17х=1
исправь знаменатель на 16

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спасибо

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спасибо!!

Answer 2

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

Comments

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

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огромное спасибо!!!