Question

x+1/2+x+1/3+x+1/4=x+1/5+x+1/6

Answer 1

x+1/2+x+1/3+x+1/4=x+1/5+x+1/6

3x+13/12=2x+11/30

x=11/30-13/12

x=-43/60

Chúc anh học tốt!!^^

Answer 2

\(\frac{x+1}{2}+\frac{x+1}{3}+\frac{x+1}{4}=\frac{x+1}{5}+\frac{x+1}{6}\)

\(\Rightarrow\frac{x+1}{2}+\frac{x+1}{3}+\frac{x+1}{4}-\frac{x+1}{5}-\frac{x+1}{6}=0\)

\(\Rightarrow\left(x+1\right)\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}-\frac{1}{6}\right)=0\)

Mà \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}-\frac{1}{5}-\frac{1}{6}\ne0\)

\(\Rightarrow x+1=0\)

\(\Rightarrow x=-1\)