Question

reprezintă un număr natural, sunt: Numerele xe N, pentru care3_x+1reprezinta un numar natural sunt B. 0; 2; C. 1; 2; D. 0:3 A. 1:3 repede !!!!!!Dau coroană!!!​

Answer 1

Răspuns:

3/(x+1)

dam valori lui x

x=0

3/(0+1)=3/1=3 ∈ N

x=1

3/(1+1)=3/2 ∉ N

x=2

3/(2+1)=3/3=1 ∈ N

3/(3+1)=3/4 ∉ N

Answer 2

Răspuns: $\pink{\bf ~x ~\in~\{0,2\} ~}$

Explicație pas cu pas:

$\bf \dfrac{3}{x+1} ~\in~\mathbb{N}\Rightarrow x+1 \leq 3\Rightarrow x\leq 2$

$\bf \blue{\underline{x = 2}} \Rightarrow \dfrac{3}{2+1}=\dfrac{3^{(3}}{3} = \red{\underline{1 \in \mathbb{N}}}$

$\bf \blue{\underline{x = 1}} \Rightarrow \dfrac{3}{1+1}= \red{\dfrac{3}{2} \not \in \mathbb{N}}$

$\bf \blue{\underline{x = 0}} \Rightarrow \dfrac{3}{0+1}=\dfrac{3}{1} = \red{\underline{3 \in \mathbb{N}}}$

$\pink{\boxed{\bf ~x ~\in~\{0,2\} ~}}$

==pav38==