Свойства функции
1)D(y)-?
2)E(y)-?
3)Нули функции
4)y/ при х -?
5)у\ при х -?
6)y<0 при х -?
у>0 при х-?

1)-50*(-3х+10)=-200.
-150х-50=-200.
-150х=-200+50.
-150х=-150/(-150)
х=1.
2)-62*(2у+22)=-1860.
-124у-1364=-1860.
-124у=-1860+1364
-124у=-496/(-124)
у=4.
3)-11х-52=41х.
-11х-41х=52.
-52х=52/(-52)
х=-1.
4)14*(3у-5)=19у-1.
42у-70=19у-1.
42у-19у=70-1.
23у=69/(23)
у=3.
5)11*(8+9х)=88+х.
88+99х=88+х.
99х-х=-99+88.
98х=-11/(98)
х=-11:98.
6)100х+77=100-(х+23).
100х+77=100-х-23.
100х+х=-77+100-23.
101х=0:(101)
х=0.
7)38-5у=34-4у.
-5у+4у=-38+34.
-1у=-4:(-1)
у=4.
8)26-4х=28-2х.
-4х+2х=-26+28.
-2х=2:(-2)
х=-1

9)10+9у=26+у.
9у-у=-10+26.
8у=16:(8)
у=2.
10)-20*(-10у+4)=120.
200у-80=120.
200у=120+80
200у=200:(200)
у=1.
11).-15*(-9-2х)=15.
135+30х=15.
30х=-135+15.
30х=-120:(30)
х=-4.

Решение:
^ - здесь степень
V - корень квадр.
Д4.12
log 5 (7-x) = log 5 (3-x) + 1
log 5 (7-x) = log 5 (3-x) + log 5 (5)
log 5 (7-x) = log 5 [5*(3-x)]
7-x = 5*(3-x)
7-x = 15 - 5x
5x = 8
x = 5/8

Д4.11
log (x-5) 49 = 2
(x-5)^2 = 49
x^2 - 10x + 25 = 49
x^2 - 10x - 24 = 0
x(1) = 12
x(2) = - 2

Д4.10
2^(3+x) = 0,4 * 5^(3+x)
2^3 * 2^x = 2/5 * 5^3 * 5^x
2^3 * 2^x = 2 * 5^2 * 5^x
2^x /5^x = 2/2^3 * 5^2
(2/5)^x = (5/2)^2
(2/5)^x = (2/5)^(-2)
x = -2

Д4.9
(1/3)^(3+x) = 9
[3^(-1)] ^(3+x) = 3^2
3^ (-3-x) = 3^2
-3-x = 2
x = -5

Д4.6
V(6+5x) = x
6+5x = x^2
x^2 - 5x - 6 = 0
x(1) = +6
x(2) = -1

Д4.5
V(1/(5-2x) = 1/3
1/(5-2x) = 1/9
5-2x = 9
2x = -4
x = -2

Д4.4
11x / (2x^2 + 5) = 1
11x = 2x^2 + 5
2x^2 - 11x + 5 = 0
x(1) = +5
x(2) = +1/2

Д4.3
x = (8x+25) / (x+8)
x^2 + 8x = 8x + 25
x^2 = 25
x(1) = +5
x(2) = -5

Д4.2
1/7 * x^2 = 9 1/7
1/7 * x^2 = 64/7
x^2 = 64
x(1) = +8
x(2) = -8

Д4.1
(2x+7)^2 = (2x-1)^2
4x^2 + 28x + 49 = 4x^2 - 4x + 1
24x = - 48
x = -2