Question

Resolva a equacao x/8+x/4+...32x= 511/2

Answer 1

x/8 + x/4 + 32 = 511/12

Vamos fazer uma operacao de m.c.m
8-4|2
4-2|2 --->m.c.m= 2x2x2
2-1|2---->m.c.m = 4x2
1-1|------->m.c.m = 8

x + 2x + 256/8 = 511/12

3x + 256/8 = 511/12

12(3x + 256) = 511 (8)

36x + 3.072 = 4.088

36x = 4.088 - 3.072

36x = 1.016

x = 1.016
....._____
.........36

x= 28,22....