Question

x-1 phần x +2=x-2 phần x+3

Answer 1

\(\dfrac{x-1}{x+2}=\dfrac{x-2}{x+3}\)

\(\Leftrightarrow\left(x-1\right)\left(x+3\right)=\left(x+2\right)\left(x-2\right)\)

\(\Leftrightarrow x^2+2x-3=x^2-4\)

\(\Leftrightarrow2x=-1\)

\(\Leftrightarrow x=-0,5\)

Vậy...

Answer 2

\(\dfrac{x-1}{x+2}=\dfrac{x-2}{x+3}\)

\(\Rightarrow\left(x-1\right)\left(x+3\right)=\left(x+2\right)\left(x-2\right)\)

\(x^2+3x-x-3=x^2-2x+2x-4\)

\(x^2-2x-3=x^2-4\)

\(2x-3=4\)

\(2x=7\)

\(x=3,5\)