2. Află numărul "a".
{[(3 xa+5) x 3 + 5] x 3+5} x 3 + 5 = 524
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Răspuns :

Răspuns: [tex]\red{\large\boxed{\bf a = 4}}[/tex]

Explicație pas cu pas:

[tex]\bf \big\{\big[\big(3 \cdot a+5\big) \cdot3 + 5\big] \cdot 3+5\big\} \cdot 3 + 5 = 524[/tex]

[tex]\bf \big\{\big[\big(3 \cdot a+5\big) \cdot3 + 5\big] \cdot 3+5\big\} \cdot 3 = 524-5[/tex]

[tex]\bf \big\{\big[\big(3 \cdot a+5\big) \cdot3 + 5\big] \cdot 3+5\big\} \cdot 3 = 519~~~\bigg|:3[/tex]

[tex]\bf\big[\big(3 \cdot a+5\big) \cdot3 + 5\big] \cdot 3+5= 173[/tex]

[tex]\bf\big[\big(3 \cdot a+5\big) \cdot3 + 5\big] \cdot 3= 173-5[/tex]

[tex]\bf\big[\big(3 \cdot a+5\big) \cdot3 + 5\big] \cdot 3= 168~~~\bigg|:3[/tex]

[tex]\bf \big(3 \cdot a+5\big) \cdot3 + 5= 56[/tex]

[tex]\bf \big(3 \cdot a+5\big) \cdot3 = 56-5[/tex]

[tex]\bf \big(3 \cdot a+5\big) \cdot3 = 51~~~\bigg|:3[/tex]

[tex]\bf 3 \cdot a+5 = 17[/tex]

[tex]\bf 3 \cdot a = 17 -5[/tex]

[tex]\bf 3 \cdot a = 12~~~\bigg|:3[/tex]

[tex]\red{\large\boxed{\bf a = 4}}[/tex]

Bafta multa !

Răspuns:

{[(3×a+5)×3+5]×3+5]×3=524-5

{[(3×a+5)×3+5]×3+5]×3=519

[(3×a+5)×3+5]×3+5=519:3

[(3×a+5)×3+5]×3+5=173

[(3×a+5)×3+5]×3=173-5

[(3×a+5)×3+5]×3=168

(3×a+5)×3+5=168:3

(3×a+5)×3+5=56

(3×a+5)×3=56-5

(3×a+5)×3=51

3×a+5=51:3

3×a+5=17

3×a=17-5

3×a=12

a=12:3

a=4