Question

+) x + 8. Determine a raiz das seguintes equa- ções do 19 grau com uma incógnita: 1 a) 2 5 4 x b) = x - 100 3 c) 2% + 5% 1 3 6 2 = 21 2. 37 1 4. 10 x 2x 1 2. 3 4 x ܠ ܢ * - ܠ ܝ ܗ + + x 1) +​

Answer 1

Vamos là.

a)

x/2 + 1 = x/5 + 1/4

x/2 - x/5 = 1/4 - 4/4

5x - 2x = -30/4

3x = -30/4

x = -10/4 = -5/2

b)

x/4 + x/3 = x - 100

3x + 4x = 12x - 1200

5x = 1200

x = 240

c)

2x/3 + 5x/6 = 1/2

4x + 5x = 3

9x = 3

x = 1/3

d)

x/5 = 21 - x/2

x/5 + x/2 = 21

10x + 5x = 210

15x = 210

x = 210/15 = 14

e)

4/5 + 3x/4 = 1/10 + x

(15x + 16)/20 = 2/20 + 20x/20

20x - 15x = 16 - 2

5x = 14

x = 14/5

f)

1/6 - x/2 = -2x/3 + 1/4

2x/3 - x/2 = 1/4 - 1/6

8x - 6x = 3 - 2

2x = 1

x = 1/2