Răspuns :
1. 3x² - 3x -17 = x + 3x² + 1
-3x - x = 18 ; - 4x = 18 ; x = - 9/2
ecuatie cu solutie UNICA
2. 3x + 9 +x = 9 + 4x
4x + 9 = 4x + 9 ecuatie cu o infinitate de solutii x∈ R
termeni identici , stanga - dreapta
3. 2x + 2 - 1 = 3 - 1 + 2x
2x + 1 = 2x + 2
termeni diferiti , stanga - dreapta
ecuaria are solutie multimea vida
-3x - x = 18 ; - 4x = 18 ; x = - 9/2
ecuatie cu solutie UNICA
2. 3x + 9 +x = 9 + 4x
4x + 9 = 4x + 9 ecuatie cu o infinitate de solutii x∈ R
termeni identici , stanga - dreapta
3. 2x + 2 - 1 = 3 - 1 + 2x
2x + 1 = 2x + 2
termeni diferiti , stanga - dreapta
ecuaria are solutie multimea vida
[tex]\displaystyle a).3x(x-1)-17=x(1+3x)+1 \\ 3x^2-3x-17=x+3x^2+1 \\ 3x^2-3x^2-3x-x=1+17 \\ -4x=18 \\ x=- \frac{18}{4} \Rightarrow x=- \frac{9}{2} \\ b).3(x+3)+x=9+4x \\ 3x+9+x=9+4x \\ 4x+9=9+4x~ \\ c).2(x+1)-1=3-(1-2x) \\ 2x+2-1=3-1+2x \\ 2x+1=2+2x [/tex]