Question

a) Aflați numărul natural n, dacă: 6×{6+6:6+6×[6:6+6×(6:n+6)]} = = 2022​

Answer 1

Răspuns: $\red{\bf n = 2}$

Explicație pas cu pas:

$\bf 6\cdot\big\{6+6:6+6\cdot[6:6+6\cdot(6:n+6)]\big\} = 2022$

$\bf \big\{6+6:6+6\cdot[6:6+6\cdot(6:n+6)]\big\} = 2022:6$

$\bf 6+6:6+6\cdot[6:6+6\cdot(6:n+6)] = 337$

$\bf 6:6+6\cdot[6:6+6\cdot(6:n+6)] = 337-6$

$\bf 1+6\cdot[6:6+6\cdot(6:n+6)] = 331$

$\bf 6\cdot[6:6+6\cdot(6:n+6)] = 331-1$

$\bf 6\cdot[6:6+6\cdot(6:n+6)] = 330$

$\bf [6:6+6\cdot(6:n+6)] = 330:6$

$\bf 6:6+6\cdot(6:n+6) = 55$

$\bf 1+6\cdot(6:n+6) = 55$

$\bf 6\cdot(6:n+6) = 55-1$

$\bf 6\cdot(6:n+6) = 54$

$\bf (6:n+6) = 54:6$

$\bf 6:n+6 =9$

$\bf 6:n =9-6$

$\bf 6:n =3$

$\bf 6=3n$

$\bf n =6:3$

$\red{\bf \underline{ \underline{n = 2}}}$

==pav38==

Baftă multă !