Question

3) Hallar el conjunto solución de las siguientes ecuaciones y realizar la comprobación. a) 2x+7= -3 b) 7x-3= 9x+5 h) (2x-1)3= -125 c) 6x+7-2x = -x-8 i) 2 (x+7)2= 242 d) -9+6x= 15+2x j) 1 + √2x + 3 = 6 e) 4x-8= -4 (2x-3)+4 k) √3x + 22 = 4 f) 2x+17 = 5 (x+1) g) 7x-5= -3 (-x-9)

Answer 1

Explanation:

a) 2x+7= -3

2x = -10

x = -5.

b) 7x-3= 9x+5

7x - 9x = 5 + 3

-2x = 8

x = -4

h) (2x-1)3= -125

6x - 3 = -125

6 x = -128

x = 21.33

c) 6x+7-2x = -x-8

6x -2x -x = -8 -7

3x = -15

x = -5

i) 2 (x+7)2= 242

2x + 14 * 2 = 242

2x + 28 = 242

2x = 242 + 28

2x = 270

x = 135.

d) -9+6x= 15+2x

6x -2x = 15 + 9

4x = 24

x = 6.

j) 1 + √2x + 3 = 6

√2x + 4 = 6

√2x = 6+4

√2x = 10

x = 7.1

e) 4x-8= -4 (2x-3)+4

4x - 8 = -8x +12 + 4

4x -8 = -8x + 16

4x - 8x = 16 - 8

-4x = 8

x = -2.

k) √3x + 22 = 4

√3x = 4 + 22

√3x = 26

x = 15

f) 2x+17 = 5 (x+1)

2x + 17 = 5x + 5

2x - 5x = 5 -17

-3x = -12

x = 4.

g) 7x-5= -3 (-x-9)

7x - 5 = 3x + 27

7x - 3x = 27 + 5

4x = 32

x = 8.