Հանրահաշիվ

(x+2)/x
2(x+2)/(x+3) = 1 2/3
2x+4/x+3= 5/3

6x+12 = 5x+15
6x+12-5x-15=0

x/x+2
x+15/ x+5 = 1 5/6
x+15/ x+5 = 11/6
6x+ 90 = 11x+55
-5x+ 35 = 0
-5x= 35
x=
7/9
22/12 = 11/6

x/x+1
3x/ 2x+2 = 1 2/7 = 9/7
21x = 18x+18
3x= 18
x=6

6/7

x/x+6

15x/x+11 = 1 1/4
15x/x+11 =5/4
60x = 5x+55
55x-55=0
x=1
1+6 = 7
1/7

34×2+68 – 30×2- 60x-60 =0
4×2-60x+8=0

3600 – 128

2x+30 = 50
2x=20
x=10

40

Հանրահաշիվ

2/q+a2-2a= 1+2a/a-2

a(a-2)

2a-4 +10 = a+2a2

2a-4+10-a-2a2=0
-2a+4-10+a+2a2=0
2a2-a-6=0
1+48 =49
1-7/4=- 1.5
1+7/4=2

12/3k-k2 +3k+5/k-3=-1/k

k(3-1)

12+ (3k+5) * -k = -1(k-3)
12-3k2-5k = -k+3

12-3k2-5k +k-3=0

9-3k2-4k=0
3k2+4k-9=0

D= 16+108= 124
-4-V124/6
-4+V124/6

Հանրահաշիվ

1/2-3+1/a-1 =

a-1+2a-3/ 2a2-5a+3=2
3a-4/2a2-5a+3=2
3a-4= 4a2-10a+6
4a2-13a+10=0

169- 160= 9
13+3/8=2
13-3/8=1.25
1/-0.5 + 1/0.25 = -2+1/-0.5=2

b-3/ b2-3b-4 = b-1/ b2-b-2
b-3/(b+1)(b-4) = b-1/ (b+1)(b-2)

1/x-1 +4/x+2=3/x

x x=x 1, -2, 0



x(x+2) + x(x-1) = (x+2)(x-1)
x2+2x+x2-x = x2-x-2
2×2+x=x2-x-2
x2+2x+2

x2+x+x2-x2+x+2 =0

x2-x-2- x2-x2-x = -x2-2x-2 = 0
4-8=-4
x2+2x+2=0

Հանրահաշիվ

3×4-5×2+2=0
x2=y
3y2-5y+2
25-24=1
5-1/6=2/3
5+1/4=1

25×4-25×2+6=0
x2=y
25y2-25y+6=0

625- 600 = 25
25-5/50=0.4
25+5/50= 0.6
x2=0.6
x= V0.6
x2=0.4
x=V0.4

x4+20×2+64
400-256= 144
-20-12/2=-16
-20+12/2= -4
10p4-21=p2
-p2+10p4-21

10×2-x-21=0

Հանրահաշիվ

15:20= 0.75
x:16 = 0.75
x=16*0.75
x=12
16-12=4

11.9/17 = 0.7
x:20=0.7
x= 20*0.7 = 14սմ

15-10=5
18:x = 15 : 5= 3
x= 18 : 3 = 6

x-3.6/x = 5:8 = 0.625
x-3.6/x=0.625
x-3.6=0.625x
0.375x= 3.6
x= 3.6/0.375 = 9.6

9.6 – 3.6 =6

x-3.9/x = 5:8 = 0.625
x-3.9/x=0.625
x-3.9=0.625x
0.375x= 3.9
x= 3.9/0.375 = 10.4
10.4-3.9= 6.5

Հանրահաշիվ

x2+2x/x-2
x=-2

3×2-7x/x2+1=0

3×2-7x
x(3x-7) =0
x=0
x=7/3

(x-7)(1.5+x)/x2-3x+4=0
x=7
x=-1.5
4×2-12x-27/x2-3x-10=0

(2x-3)(2x

x3-4×2+5x/x2-3=0
x(x2-4x+5)/x2-3=0
x=0

D=16-20=-4

x3+3×2-18x/x2+4=
x(x2+3x-18)/x2+4=0
x=0
D=9+72=81

-3+9/2=3
-3-9/2=-6

Հանրահաշիվ

2×2-3x=0
x(2x-3)=0
x=0
x=1.5

7×2+5x=0
x(7x+5)=0
x=0
x=-5/7
x3-x=0
x(x2-1)=0
X=0
X=1
x=-1
x2+x3=0
x2(1+x)=0
x=-1
x=0
1-x3=0
x=1
x3+1=0
x=-1

x3-8=0
x=2
125-x3=0
x=5
x4-1=0
x=1
x=-1

x3+5×2+6x
x(x2+5x+6)=0

x=-2
x=-3
x1+x2= -b
x1*x2=c

x3-4×2+3x=0

x(x2-4x+3)=0
x1+x2 4

x=0
x= 1
x=3

x4 = 2×3+3×2


2×3+3×2-x4

Հանրահաշիվ

x2-49x+48>0

d=2401 – 192 = 2209
49 – 47/2= 1
49+47/2= 48

D= 1+24=25
1-5/2=-2
1+5/2=3


(-անվ․; 1)U(3;+անվ)

x2-4 <0
2
-2



4/x>0
– 0 +

(-2 ; 0)U(0; +անվ)

Հանրահաշիվ

(x+1)(x-3)<0
(x+2)(x+1)<0
-1 3

-2
+ -1 – 3 +
+ -1 – -2 +
-1;-2
-2;3

Հանրահաշիվ

2x-3<=0
2x-3=0
x=3:2=1.5
(∞; 1.5]
4x-3=>0
x=3:4= 0.75
[0.75;+∞)

5x-8 >= 3x-1
5x-8-3x+1 >=
2x-7>=0
x=7:2=3.5
[3.5;+∞)

2x-4<=4x-3
2x-4-4x+3<=0
-2x-1<=0
-2x-1=0
x=-1:2= -0.5
(-∞;-0.5]

x2-12x-32<=0
x2-12x-32<=0

[-∞;8]

2×2+x-7=>0