Question

ai on làm nè:

tìm x biết: \(\frac{2030-x}{15}+\frac{2041-x}{13}+\frac{2048-x}{11}+\frac{1961-x}{9}=0\)

Answer 1

\(\frac{2030-x}{15}+\frac{2041-x}{13}+\frac{2048-x}{11}+\frac{1961-x}{9}=0\)

\(\Leftrightarrow\frac{2030-x}{15}-1+\frac{2041-x}{13}-2+\frac{2048-x}{11}-3+\frac{1961-x}{9}+6=0\)

\(\Leftrightarrow\frac{2015-x}{15}+\frac{2015-x}{13}+\frac{2015-x}{11}+\frac{2015-x}{9}=0\)

\(\Leftrightarrow\left(2015-x\right)\left(\frac{1}{15}+\frac{1}{13}+\frac{1}{11}+\frac{1}{9}\right)=0\)

Mà \(\frac{1}{15}+\frac{1}{13}+\frac{1}{11}+\frac{1}{9}\ne0\)

\(\Rightarrow2015-x=0\Leftrightarrow x=2015\)