Question

Determina nr intreg X pt care 4x^2+2x+1=1

Answer 1

1 se reduce si obtinem 4x^2 +2x =0
Dam factor 2x si obtinem 2x(2x+1)=0
=> 2x=0 → x=0 € Z
=> 2x+1=0 → x=-1/2 nu apartine lui Z

Answer 2

4 x² + 2 x + 1 = 1

4 x² + 2 x = 1 - 1

4 x² + 2 x = 0 l : 2

2 x² + x = 0

x ( 2 x + 1 ) = 0

x₁= 0 ∈ Z

2 x + 1 = 0 ⇒ 2 x = - 1 ⇒ x₂ = - 1 / 2 ∉ Z