Question

tìm số x nguyên sao cho phân số \(\frac{-3x-15}{-2x}\) có giá trị bằng 3 

Answer 1

\(\frac{-3x-15}{-2x}=3\)

mà âm chia âm bằng dương

=>\(\frac{-3x-15}{-2x}=\frac{-\left(3x+15\right)}{-\left(2x\right)}=\frac{3x+15}{2x}=3\)

\(\frac{3x}{2x}+\frac{15}{2x}=3\)=>\(\frac{3}{2}+\frac{15}{2x}=3\)

\(15:2x=3-\frac{3}{2}=\frac{6-3}{2}=\frac{3}{2}\)

\(15.\frac{1}{2}x=\frac{3}{2}\)=>\(\frac{15}{2}x=\frac{3}{2}\)

\(x=\frac{3}{2}:\frac{15}{2}=\frac{3}{2}.\frac{2}{15}=\frac{1}{5}\)