Question

x+1/15 + x+2/7 + x+4/4 + 6 = 0    

x+2/13 + 2x+45/15 = 3x+8/37 + 4x+69/9                       

Answer 1

a)x+1/15 + x+2/7 + x+4/4 + 6 = 0    

\(\Rightarrow\left(\frac{x+1}{15}+1\right)+\left(\frac{x+2}{7}+2\right)+\left(\frac{x+4}{4}+3\right)+\left(\frac{x+16}{\frac{1}{6}\left(x+16\right)}\right)=0\)\(\Rightarrow\frac{x+16}{15}+\frac{x+16}{7}+\frac{x+16}{4}+\frac{x+16}{\frac{1}{6}\left(x+16\right)}=0\)

\(\Rightarrow\left(x+16\right)\left(\frac{1}{15}+\frac{1}{7}+\frac{1}{4}+\frac{1}{\frac{1}{6}\left(x+16\right)}\right)=0\)

\(\Rightarrow x+16=0\).Do \(\frac{1}{15}+\frac{1}{7}+\frac{1}{4}+\frac{1}{\frac{1}{6}\left(x+16\right)}\ne0\)

\(\Rightarrow x=-16\)

b)tương tự