Объяснение:
√81*0,25=√9*9*0,5*0,5=9*0,5=4,5.
√14,4*3,6=√ 14,4*10/10*3,6*10/10=√144*36*100/100=12*6/10=7,2.
√64*0,04=√8*8* 0,2*0,2=8*0,2=1,6.
√4/25=√2*2/5*5=2/5=0,4.
√7 1/9=√64/9=√8*8/3*3=8/3=2 2/3.
√1 11/25=√36/25=6/5=1 1/5.
√72*32=√8*9*8*2*2=8*3*2=48.
√0,64*9=0,8*3=2,4.
√4,9*12,1=√4,9*10*12,1*10/100=√7*7*11*11/100=7*11/10=7,7.
√3,6*250=√36*25=6*5=30.
√25/16=5/4=1 1/4=1.25.
√1 19/81=√100/81=10/9=1 1/9.
√3 6/25=√81/25=9/5=1 4/5=1,8.
√98*18=√2*7*7*2*3*3=2*7*3=42.
√9*36=3*6=18.
√0,49*25=0,7*5=3,5.
√100*0,64=10*0,8=8.
√4/9=2/3.
√81/100=9/10.
√169/225=13/15.
√810*40=√810/10*40*10=√81*400=9*20=180.
№ 1
11х = 36 - х
11х + х = 36
12х = 36
х = 36 : 12
х = 3
№ 2
7 - 2х = 3х - 18
7 - 2х - 3х = - 18
7 - 5х = - 18
5х = 7 - (- 18)
5х = 7 + 18
5х = 25
х = 25 : 5
х = 5
№ 3
0,4х + 3,8 = 2,6 - 0,8х
0,4х + 0,8х = 2,6 - 3,8
1,2х = - 1,2
х = - 1,2 : 1,2
х = - 1
№ 4
3/8х + 15 = 1/6х + 10
3/8х - 1/6х = 10 - 15
9/24х - 4/24х = - 5
5/24х = - 5
х = - 5 : 5/24
х = - 24
№ 5
- 6(2х + 1) = - 42 - 3х
- 12х - 6 = - 42 - 3х
- 12х + 3х = - 42 + 6
-9х = - 36
х = - 36 : (- 9)
х = 4
№ 6
3(х - 7) - 6(2х + 5) = 2(3х - 1) + 11
3х - 21 - 12х - 30 = 6х - 2 + 11
-9х - 51 = 6х + 9
- 9х - 6х = 9 + 51
- 15х = 60
х = 60 : (- 15)
х = - 4
№ 7
3/5 * (7/9х - 1/3) = х - 2 1/3
7/15х - 1/5 = х - 2 1/3
7/15х - х = - 2 1/3 + 1/5
7/15х - 15/15х = 1/5 - 2 1/3
- 8/15х = 1/5 - 7/3
- 8/15х = 3/15 - 35/15
- 8/15х = - 32/15
х = - 32/15 : (- 8/15)
х = - 32/15 * (- 15/8)
х = 4
№ 8
8 * (5 - 3х) = 6 * (2 - 4х) + 7
−8 (−3x + 5) + 6 (−4x + 2) + 7 = 0
Нет решений
№ 9
3 5
=
2х - 1 3х - 2
3 * (3х - 2) = 5 * (2х - 1)
9х - 6 = 10х - 5
9х - 10х = - 5 + 6
-х = 1
х = - 1
№ 10
5ах = 14 - х
5а*4 = 14 - 4
20а = 10
а = 10 : 20
а = 1/2
а = 0,5
Вариант № 2
№ 1
6х = 28 - х
6х + х = 28
7х = 28
х = 28 : 7
х = 4
№ 2
9 - 4х = 3х - 40
9 - 4х - 3х = - 40
9 - 7х = - 40
7х = 9 - (- 40)
7х = 49
х = 49 : 7
х = 7
№ 3
0,9х - 7,4 = - 0,4х + 4,3
0,9х + 0,4х = 4,3 + 7,4
1,3х = 11,7
х = 11,7 : 1,3
х = 10,4
№ 4
4/9х + 14 = 1/6х + 9
4/9х - 1/6х = 9 - 14
8/18х - 3/18х = - 5
5/18х = - 5
х = - 5 : 5/18
х = - 18
№ 5
9 * (- 8 + 3у) = 18 - 3у
9 * (3у - 8) = 18 - 3у
27у - 72 = 18 - 3у
27у + 3у = 18 + 72
30у = 90
у = 90 : 30
у = 3
№ 6
5х - 3 * (х + 4,2) = 4 * (х + 2)
5х - 3х - 12,6 = 4х + 8
2х - 12,6 = 4х + 8
2х - 4х = 8 + 12,6
- 2х = 20,6
х = 20,6 : (- 2)
х = - 10,3
№ 7
2/3 * (1/3х - 1/2) = 4х + 2 1/2
2/9х - 1/3 = 4х + 5/2
2/9х - 4х = 1/3 + 5/2
2/9х - 36/9х = 2/6 + 15/6
- 34/9х = 17/6
х = 17/6 : (- 34/9)
х = 17/6 * (- 9/34)
х = - 3/4
№ 8
2 * (8х - 7) = 18 - 4 * (5 - 4х)
16х - 14 = 18 - 20 + 16х
16х - 14 - 18 + 20 - 16х = 0
Нет решений
№ 9
0,3 - 6
=
0,5х - 3 9х + 3
0,3 * (9х + 3) = - 6 * (0,5х - 3)
2,7х + 0,9 = - 3х + 18
2,7х + 3х = 18 - 0,9
5,7х = 17,1
х = 17,1 : 5,7
х = 3
№ 10
4ах = 84
4а * (-3) = 84
-12а = 84
а = 84 : (- 12)
а = 7
Объяснение:
