\(ĐK:x\ne0\)
\(\dfrac{x-1}{3}+\dfrac{x+3}{x}=2\)
\(\Leftrightarrow\dfrac{x\left(x-1\right)+3\left(x+3\right)}{3x}=\dfrac{6x}{3x}\)
\(\Leftrightarrow x\left(x-1\right)+3\left(x+3\right)=6x\)
\(\Leftrightarrow x^2-x+3x+9-6x=0\)
\(\Leftrightarrow x^2-4x+9=0\)
Ta có: \(x^2-4x+9=x^2-4x+4+5=\left(x-2\right)^2+5\ge5>0\)
Vậy pt vô nghiệm
Đúng 1
Bình luận (0)
