Question

Równiania Rozwiaznia ;

a)4(2x-1)+10(x+1)=14
b)11(x+1)-12(2-x)=4x
c)2x(3x+5)=3x(2x-1)+7
d)x²+x+1=x(x-6)
e)x(x-1)+2=x(x+1)-5x
f)2x-(1-4x)=2+(8x-5)
g)4-5(3-x)=-x-(3-2x)
h)6(4-x)+5(2x-5)=4(x-1)-3(4-x)
i)-(4-2x)-(2x+4)=(3+1)+(2x-5)-(7-3x)
j)2x-7-[3-2x-2x-2(1-2x)]=x-11
k)8-3x-2[4-(x+5)]=3(x+1)-1
Bardzo prosze o szybkie rozwiazanie

Answer 1

A)4(2x-1)+10(x+1)=14
8x - 4 + 10x +10 = 14
18x + 6 = 14
18x = 14 - 6
18x = 8 /:18
x = 8/18
x = 4/9

b)11(x+1)-12(2-x)=4x
11x + 11 - 24 + 12x = 4x
23x - 13 = 4x
23x - 4x = 13
19x = 13 /:19
x = 13/19

c)2x(3x+5)=3x(2x-1)+7
6x² + 10x = 6x² - 3x +7
6x² + 10x - 6x² + 3x = 7
13x = 7 /:13
x = 7/13

d)x²+x+1=x(x-6)
x² + x +1 = x² - 6x
x² + x - x² + 6x = - 1
7x = -1 /:7
x = - 1/7

e)x(x-1)+2=x(x+1)-5x
x² - x + 2 = x² + x - 5x
x² - x - x² - x + 5x = -2
3x = -2 /:3
x = - 2/3

f)2x-(1-4x)=2+(8x-5)
2x - 1 + 4x = 2 + 8x - 5
6x - 8x = -3 + 1
- 2x = -2 /: (-2)
x = 1

g)4-5(3-x)=-x-(3-2x)
4 -15 + 5x = -x - 3 + 2x
- 11 + 5x = - 3 + x
5x - x = -3 + 11
4x = 8 /: 4
x = 2

h)6(4-x)+5(2x-5)=4(x-1)-3(4-x)
24 - 6x + 10x - 25 = 4x - 4 - 12 + 3x
- 1 + 4x = 7x - 16
4x - 7x = -16 +1
- 3x = - 15 / : (-3)
x = 5


i)-(4-2x)-(2x+4)=(3+1)+(2x-5)-(7-3x)
- 4 + 2x - 2x - 4 = 4 + 2x -5 - 7 + 3x
-8 = -8 + 5x
- 5x = -8 + 8
-5x = 0 /:(-5)
x = 0

j)2x-7-[3-2x-2x-2(1-2x)]=x-11
2x - 7 -( 3 - 4x - 2 + 4x ) = x -11
2x - 7 - 1 = x - 11
2x - 8 = x - 11
2x - x = -11 + 8
x = -3



k)8-3x-2[4-(x+5)]=3(x+1)-1
8 - 3x - 2 ( 4-x-5 )= 3x + 3 - 1
8 - 3x - 2 ( -x -1 ) = 3x +2
8 - 3x + 2x + 2 = 3x + 2
10 - x = 3x + 2
- x - 3x = 2 - 10
- 4x = - 8 /:(-4)
x= 2