Răspuns:
Explicație pas cu pas:
a) 3x+7 = x +21 => 3x-x = 21-7 => 2x = 14 => x = 14:2 => x = 7 ∈ Z
b) 0,5 x +3 = 0,25x +4 => 0,5x - 0,25x = 4-3 => 0,25x = 1 =>
x = 1/0,25 = > x = 1/(1/4) => x = 4 ∈ Z
c) 2√3 + √3·x = √48 => √3x = √48 - 2√3 =>
√3·x = 4√3 - 2√3 => √3·x = 2√3 => x = 2√3/√3 => x = 2 ∈ Z
d) (x-2)(x+√2) = 0 => x₁ = 2 ∈ Z ; x₂ = -√2 ∉ Z
e) ³⁾x/2 -²⁾x/3 = ⁶⁾2·3 => 3x-2x = 36 => x = 36 ∈ Z
f) -3·(x+1) = 2·(x+6) => -3x-3 = 2x+12 => 2x+3x = -3-12 =>
5x = -15 => x = -15:5 => x = -3 ∈ Z
g) ⁶⁾(x-1)/2 +³⁾3/4 = ²⁾(x-5)/6 + 1/12 =>
6x-6+9=2x-10 +1 => 6x-2x = -3-9 => 4x = -12 =>
x = -12:4 => x = -3 ∈ Z
