Question

X-1. X-1. X-4
____+____+____=1
2. 3. 4

Rezolvați ecuația in mulțimea nr raționale pozitive.

Answer 1

   
[tex]\displaystyle \\ \frac{x-1}{2} + \frac{x-1}{3} + \frac{x-4}{4}=1 \\ \\ \frac{6(x-1)}{12} + \frac{4(x-1)}{12} + \frac{3(x-4)}{12}=1\\ \\ \frac{6(x-1) +4(x-1)+3(x-4)}{12} =1\\ \\ \frac{10(x-1) +3(x-4)}{12} =1\\ \\ \frac{10x-10 +3x-12}{12} =1\\ \\ \frac{13x-22}{12} =1[/tex]

[tex]\displaystyle 13x-22 = 12 \\ 13x = 12+22 \\ 13x = 34 \\ \\ x = \boxed{ \frac{34}{13} } [/tex]