Question

tìm x biết\(\frac{x+2}{10^{10}}\) + \(\frac{x+2}{11^{11}}\) = \(\frac{x+2}{12^{12}}\)\(\frac{x+2}{13^{13}}\)

 

Answer 1

Ta có

\(\frac{x+2}{10^{10}}+\frac{x+2}{11^{11}}=\frac{x+2}{12^{12}}+\frac{x+2}{13^{13}}\)

<=>\(\frac{x+2}{10^{10}}+\frac{x+2}{11^{11}}-\frac{x+2}{12^{12}}-\frac{x+2}{13^{13}}=0\)

<=>\(\left(x+2\right)\left(\frac{1}{10^{10}}+\frac{1}{11^{11}}+\frac{1}{12^{12}}+\frac{1}{13^{13}}\right)=0\)

Vì \(\frac{1}{10^{10}}+\frac{1}{11^{11}}+\frac{1}{12^{12}}+\frac{1}{13^{13}}\ne0\)

=>\(x+2=0\)

<=>\(x=-2\)

Tick nha quachtxuanhong23