Question

x-214/86 + x-132/84 + x-300/82=0

Answer 1

Sửa đề: \(\dfrac{x-214}{86}+\dfrac{x-132}{84}+\dfrac{x-300}{82}=3\)

\(\dfrac{x-214}{86}+\dfrac{x-132}{84}+\dfrac{x-300}{82}=0\)

\(\Leftrightarrow\dfrac{x-214}{86}-1+\dfrac{x-132}{84}-2+\dfrac{x-300}{82}=0\)

\(\Leftrightarrow\dfrac{x-300}{86}+\dfrac{x-300}{84}+\dfrac{x-300}{82}=0\)

\(\Leftrightarrow\left(x-300\right)\left(\dfrac{1}{86}+\dfrac{1}{84}+\dfrac{1}{82}\right)=0\)

\(\Leftrightarrow x-300=0\) (Do \(\dfrac{1}{86}+\dfrac{1}{84}+\dfrac{1}{82}>0\))

\(\Leftrightarrow x=300\)

Vậy phương trình có nghiệm \(x=300\)