Question

1.Rozwiąż równania:

a)2x + 17 = 26 -x

b)11- x = 3x +8

c)-7(x+2) + 4 = -3x

d)-4(1/2x - 2) - 4 +2(-x +2)

e)2x(x - 1)= 2(x - 1)(x +3)

f)x/2 -x/3 + 1 +1/6(x +6)

g)1 -2x+5/3 = 4

h)x - 1/4 - x+1/2 =x/4

Answer 1

a)2x + 17 = 26 -x

2x + x = 26 - 17

3x = 9 /:3

x =3

 

b)11- x = 3x +8

-x - 3x = 8 - 11

-4x = -3 /:(-4)

x = 3/4

 

 

c)-7(x+2) + 4 = -3x

-7x - 14 + 4 = -3x

-7x + 3x = 14 - 4

-4x = 10 /:(-4)

x = -10/4

x = -2,5

 

 

d)-4(1/2x - 2) - 4 + 2(-x +2) - nie wiem gdzie jest znak =

 

 

e)2x(x - 1)= 2(x - 1)(x +3)

2x^2 - 2x = 2 (x^2 + 3x - x - 3)

2x^2 - 2x = 2x^2 + 6x - 2x - 6

2x^2 - 2x^2 - 2x - 6x + 2x = -6

-6x = - 6 /:(-6)

  x = 1

 

f)x/2 -x/3 + 1 +1/6(x +6) - nie ewiem gdzie jest znak =

 

 

g)1 -2x+5/3 = 4 /*3

3 - 6x + 5 =12

-6x = 12 - 3 - 5

-6x = 4 /:(-6)

x = -4/6

x = -2/3

 

 

h)x - 1/4 - x+1/2 =x/4 /*4

4x - 1 - 4x + 2 = x

4x - x - 4x = -2 + 1

-x = -1

x = 1