Question

Rezolvati in Z ecuatiile :

a. -4 -{ 6- [-3 + (-3) + ( -5 -x) -7] -9} = 1
b. 7x - 7 = 6 - 3( x + 1)
c. 3x - 4 = x + 2( x - 2)
d. x(x + 1) = x la puterea a 2 + 2x + 1
e. 2(2x - 5) = 4( x - 2) - 6
f. 5(1 - 2x) + 1 = 4( x + 3) + 8
g. -10{ -2 - 2[( -4) la puterea 5 : 4 la puterea 4 - 2]} = -2x

Answer 1

a. -4 -{ 6- [-3 + (-3) + ( -5 -x) -7] -9} = 1
  -{ 6- (-3 -3  -5 -x -7) -9} = 1+4
 -{ 6-(-18 -x ) -9} = 5
 6+18+x  -9 = -5
 24+x  -9 = -5
15+x=-5
x=-20
 

b. 7x - 7 = 6 - 3( x + 1)
7x-7=6-3x-3
10x=10
x=1

c. 3x - 4 = x + 2( x - 2)
3x-4=x+2x-4
0=0
nu are solutii

d. x(x + 1) = x² + 2x + 1
x²+x=x²+2x+1
x=-1

e.2(2x - 5) = 4( x - 2) - 6
4x -10 = 4x -8 - 6
 -10 =  -14
nu are solutii

f. 5(1 - 2x) + 1 = 4( x + 3) + 8
5-10x+1=4x+12+8
14x=-14
x=-1

g. -10{ -2 - 2[( -4)⁵ : 4⁴ - 2]} = -2x
10[ -2 - 2(-4 - 2)] = 2x
10[ -2 - 2(-6)] = 2x
10( -2  +12) = 2x
100 = 2x
x=50