Question

Cần gấp mấy anh chị ơi

Answer 1

\(\dfrac{201-x}{99}+\dfrac{203-x}{97}+\dfrac{205-x}{95}+3=0\)

\(\Leftrightarrow\left(\dfrac{201-x}{99}+1\right)+\left(\dfrac{203-x}{97}+1\right)+\left(\dfrac{205-x}{95}+1\right)=0\)

\(\Leftrightarrow\left(\dfrac{300-x}{99}\right)+\left(\dfrac{300-x}{97}\right)+\left(\dfrac{300-x}{95}\right)=0\)

\(\Leftrightarrow\left(300-x\right)\left(\dfrac{1}{99}+\dfrac{1}{97}+\dfrac{1}{95}\right)=0\)

\(\Leftrightarrow300-x=0\)

\(\Leftrightarrow x=300\)

Vậy \(S=\left\{300\right\}\)