Question

А) 4(1,5х-3)-5,5х=10 б) (х+1)(х+2)-х^2=5х+4 в) х*(х-1)-х(х-3)=12 г) 0,6х=0,3-3*(х+2,5) д) 3*(х-1)=3х-4*(8х+1) е) 8*(х-8)+2*(1-2х)=11ж) (х-4)^2=х^2-16з) (х+1)^2=х^2+1

Answer 1

а) 4(1,5х-3)-5,5х=106х-12-5,5х-10=0
0,5х-22=0
0,5х=22
х=22/0,5
х=44
б) (х+1)(х+2)-х^2=5х+4
х^2+2х+х+2-х^2-5х-4=0
-2х-2=0
-2ч=2
х=2/(-2)
х=-1
в) х*(х-1)-х(х-3)=12
х^2-х-х^2+3х=12
2х=12
х=12/2
х=6
г) 0,6х=0,3-3*(х+2,5)
0,6х=0,3-3х-7,5
0,6х+3х=0,3-7,5
3,6х=-7,2
х=-7,2/3,6
х=-2
д) 3*(х-1)=3х-4*(8х+1)
3х-3=3х-32х-4
3х-3х+32х=3-4
32х=-1
х=-1/32
х=
е) 8*(х-8)+2*(1-2х)=11
8х-64+2-4х=11
4х-62=11
4х=11+62
4х=73
х=73/4
х=18,25
ж) (х-4)^2=х^2-16
х^2-8х+16=х^2-16
х^2-8х+16-х^2+16=0
-8х+32=0
32=8х
32/8=х
4=х
х=4
з) (х+1)^2=х^2+1
х^2+2х+1=х^2+1
х^2+2х+1-х^2-1=0
2х=0
х=0

Answer 2

А)

Let's first distribute the 4 to the terms inside the parentheses:

4(1,5х-3) = 6х - 12

Substituting this expression into the original equation, we get:

6х - 12 - 5,5х = 10

Combining like terms:

0,5х - 12 = 10

Adding 12 to both sides:

0,5х = 22

Dividing both sides by 0,5:

х = 44

б)

Let's first expand the left side of the equation:

(х+1)(х+2) - х^2 = 5х + 4

х^2 + 3х + 2 - х^2 = 5х + 4

Simplifying:

3х + 2 = 5х + 4

Subtracting 3х from both sides:

2 = 2х + 4

Subtracting 4 from both sides:

-2 = 2х

Dividing both sides by 2:

х = -1

в)

Let's first distribute the х to the terms inside the parentheses:

х*(х-1)-х(х-3) = 12

Simplifying:

х^2 - х - х^2 + 3х = 12

Combining like terms:

2х = 12

Dividing both sides by 2:

х = 6

г)

0,6х = 0,3 - 3*(х+2,5)

Distributing the -3:

0,6х = 0,3 - 3х - 7,5

Combining like terms:

0,6х + 3х = -7,2

Multiplying both sides by 10 to eliminate the decimal:

6х + 30х = -72

Combining like terms:

36х = -72

Dividing both sides by 36:

х = -2

д)

Let's first distribute the -4 to the term inside the parentheses:

3*(х-1) = 3х - 4*(8х+1)

Simplifying:

3х - 3 = 3х - 32х - 4

Combining like terms:

3х - 3 = -29х - 4

Adding 29х to both sides:

32х - 3 = -4

Adding 3 to both sides:

32х = -1

Dividing both sides by 32:

х = -1/32

е)

Let's first distribute the coefficients:

8*(х-8) + 2*(1-2х) = 11

Simplifying:

8х - 64 + 2 - 4х = 11

Combining like terms:

4х - 62 = 11

Adding 62 to both sides:

4х = 73

Dividing both sides by 4:

х = 73/4

ж)

(х-4)^2 = х^2 - 16

Expanding the left side of the equation:

х^2 - 8х + 16 = х^2 - 16

Subtracting х^2 from both sides:

-8х + 16 = -16

Subtracting 16 from both sides:

-8х = -32

Dividing both sides by -8:

х = 4

з)

(х+1