Question

determine a raiz de cada equação:
a) 2a + 5= -4
b) 4- 2b=15
c)3c +6=13
d) 14-3d=24
e) 4e+55=3
f)28-4e=13
g)10g-29=-1
h)4- g =13
i) 5i +12=13
j)11+5i=19
k)15-6i=-6​

Answer 1

Resposta:

a) 2a + 5 = - 4

2a + 5 + 4 = 0

2a + 9 = 0

2a = -9

a = -9/2

b) 4 - 2b = 15

4 - 2b - 15 = 0

4 - 15 = 2b

- 11 = 2b

-11/2 = b

c) 3c + 6 = 13

3c + 6 - 13 = 0

3c - 7 = 0

c = 7/3

c = 2, 3 ou 7/3

d) 14 - 3d = 24

14 - 3d - 24 = 0

14 - 24 = 3d

-10 = 3d

-10/3 = d

e) 4e + 55 = 3

4e + 55 - 3 = 0

4e + 52 = 0

e = 52/4

e = 13

f) 28 - 4e = 13

28 - 4e - 13 = 0

28 - 13 = 4e

15 = 4e

15/4 = e

e = 15/4 ou 3,75

g) 10g - 29 = -1

10g - 29 + 1 = 0

10 g - 30 = 0

10g = 30

g = 30/10

g = 3

h) 4 - g = 13

4 - g - 13 = 0

4 - 13 = g

- 9 = g

i) 5i + 12 = 13

5i + 12 - 13 = 0

5i - 1 = 0

5i = 1

i = 1/5

j) 11 + 5i = 19

11 + 5i - 19 = 0

11 - 19 = -5i

-8 = -5i

-8/-5 = i

i = 1,6 ou -8/-5

k) 15 - 6i = - 6

15 - 6i + 6 = 0

15 + 6 = 6i

21 = 6i

21/6 = i

i = 3,5 ou 21/6

Answer 2

Resposta:

a) 2a = - 4 - 5

2a = - 9

a = - 9/2

a = - 4,5

b) 4 - 2b = 15

- 2b = 15 - 4

- 2b = 11

b = - 11/2

b = - 5,5

c) 3c + 6 = 13

3c = 13 - 6

3c = 7

c = 7/3

c = 2,333...

d) 14 - 3d = 24

- 3d = 24 -14

- 3d = 10

d = - 10/3

d = - 3,333...

e) 4e + 55 = 3

4e = 3 - 55

4e = - 52

e = - 13

f) 28 - 4e = 13

- 4e = 13 - 28

- 4e = - 15

e = 15/4

e = 3,75

g) 10g - 29 = - 1

10g = - 1 + 29

10g = 28

g = 14/5

g = 2,8

h) 4 - g = 13

- g = 13 - 4

- g = 9

g = - 9

i) 5i + 12 = 13

5i = 1

i = 1/5

i = 0,2

j) 11 + 5i = 19

5i = 19 - 11

5i = 8

i = 8/5

i = 1,6

k) 15 - 6i = - 6

- 6i = - 6 - 15

- 6i = - 21

i = 7/2

i = 3,5