Question

Aflati pe x din: a)5*4:5*2+5X(55*1-x)=5*3
b) (5*2)*14:25*12-5X(55*1+x:5)=5*2

Answer 1

Răspuns:

a) 35

b) 325

Explicație pas cu pas:

a) $5^{4} : 5^{2}  + 5* ( 55^{1} - x)= 5^{3} \\5^{2} + 5 * (55 - x) = 125\\5*(55 - x) = 125 - 25\\5*(55 - x) = 100\\55 - x = 100 : 5\\55 - x = 20\\x = 55 - 20\\x = 35$

b) ($(5^{2} )^{14} : 25^{12} - 5 * (55^{1} + x : 5) = 5^{2} \\5^{28} : (5^{2} )12 - 5 * (55 - x : 5) = 25\\5^{28} : 5^{24} - 5 * (55 - x : 5) = 25\\5^{4} - 5 * (55 - x : 5) = 25\\625 - 5 * (55 - x : 5) = 25\\5 * (55 - x : 5) = 625 - 25\\5 * (55 - x : 5) =600\\55 - x : 5 = 600 : 5\\55 - x : 5 = 120\\x : 5 = 120 - 55\\x : 5 = 65\\x = 65 * 5\\x = 325$