Question

(X+1)/58 + (X+2)/57 = (X+3)/56 + (X+4)/55

Tìm X 

Answer 1

(x + 1)/58 + (x + 2)/57 = (x + 3)/56 + (x + 4)/55

(x + 1)/58 + 1 + (x + 2)/57 + 1 = (x + 3)/56 + 1 + (x + 4)/55 + 1

(x + 59)/58 + (x + 59)/57 = (x + 59)/56 + (x + 59)/55

=> (x + 59)/58 + (x + 59)/57 - (x + 59)/56 - (x + 59)/55 = 0

=> (x + 59).(1/58 + 1/57 - 1/56 - 1/55) = 0

Do 1/56 > 1/58; 1/55 > 1/57 => 1/58 + 1/57 - 1/56 - 1/55 khác 0

=> x + 59 = 0

=> x = -59

Answer 2

(x + 1)/58 + (x + 2)/57 = (x + 3)/56 + (x + 4)/55

(x + 1)/58 + 1 + (x + 2)/57 + 1 = (x + 3)/56 + 1 + (x + 4)/55 + 1

(x + 59)/58 + (x + 59)/57 = (x + 59)/56 + (x + 59)/55

=> (x + 59)/58 + (x + 59)/57 - (x + 59)/56 - (x + 59)/55 = 0

=> (x + 59).(1/58 + 1/57 - 1/56 - 1/55) = 0

Do 1/56 > 1/58; 1/55 > 1/57 => 1/58 + 1/57 - 1/56 - 1/55 khác 0

=> x + 59 = 0

=> x = -59