Question

Rozwiąż równania :
a ) - 4 ( x+2 ) + 8 = - 4

b ) 2 ( 2x + 1 ) - 1 = 2 ( x - 7 ) + 9

c) ( x + 1 ) do potęgi 2 = ( x - 2 ) do potęgi 2

Answer 1

a ) - 4 ( x+2 ) + 8 = - 4
po uproszczeniu:
8-4(x+2)= -4  /+4
4-4(x+2)+8=0
8-4x-4=0
4-4x=0  / -4
-4x= -4  /  : -4
x= -4/(-4)
x=1

b ) 2 ( 2x + 1 ) - 1 = 2 ( x - 7 ) + 9  /  -2(x-7)+9
2(2x+1)-2(x-7)-9-1=0
2x-9-1+16=0
2x-1+7=0
2x+6=0  / -6
2x= -6  / :2
x= -6/2
x= -3

c) ( x + 1 ) ^ 2 =  ( x - 2 ) ^2  /  -(x-2)^2
(x+1)^2-(x-2)^2=0
(x+1)^2-1*(x-2)^2=0
6x-3=0 /  +3
6x=3  / :6
x=3/6
x=1/2

Answer 2

Zadanie 1
A) -4 (x+2)+8 = -4
-4x - 8 + 8 = -4
-4x = +8 - 8 - 4
-4x = 8 - 12
-4x = -4 /(-4)
x = 1

B) 2( 2x+1 )-1= 2 ( x - 7 ) +9
4x + 2 - 1=2x - 14 + 9
4x - 2x =-2 + 1 -14 + 9
2x = -6 / 2
x = -3

C) (x + 1 )^2 = ( x - 2)^2
x^2 + 1 = x^2 -4
x^2 - x^2 = -1 - 4
0 = -5