Question

[(20+139:3+a:4)×7-5×400]:3-22×3+125×8=1000​

Answer 1

Răspuns:

$a = \frac{2972}{3}$

Explicație pas cu pas:

$((20 + 139 \div 3 + a \div 4) \times 7 - 5 \times 400) \div 3 - 22 \times 3 + 125 \times 8 = 1000$

$(( \frac{199}{3} + \frac{1}{4} a) \times 7 - 2000) \times \frac{1}{3} - 66 + 1000 = 1000$

$( \frac{1393}{3} + \frac{7}{4} a - 2000) \times \frac{1}{3} - 66 + 1000 = 1000$

$( - \frac{4607}{3} + \frac{7}{4} a) \times \frac{1}{3} - 66 + 1000 = 1000$

$\frac{ - 18428 + 21a}{12} \times \frac{1}{3} - 66 + 1000 = 1000$

$\frac{ - 18428 + 21a}{36} - 66 = 0$

$- 18428 + 21a - 2376 = 0$

$- 20804 + 21a = 0$

$21a = 20804$

$a = \frac{20804}{21}$

$\boxed{ a = \frac{2972}{3} }$