Question

6 Aflați numărul necunoscut.
5^4:5^2+5•(55^1-x:5)=5^3

Answer 1

${5}^{4} \div {5}^{2} + 5 \times ( {55}^{1} - x \div 5) = {5}^{3}$

${5}^{4 - 2} + 5 \times (55 - x \div 5) = {5}^{3}$

${5}^{2} + 5 \times (55 - x \div 5) = 125$

$25 + 5 \times (55 - x \div 5) = 125$

$5 \times (55 - x \div 5) = 125 - 25$

$5 \times (55 - x \div 5) = 100$

$55 - x \div 5 = 100 \div 5$

$55 - x \div 5 = 20$

$- x \div 5 = 20 - 55$

$- x \div 5 = - 35$

$- x = - 35 \times 5$

$- x = - 175 \: \: \: | \times ( - 1)$

$x = 175$