Question

tỉ lệ thức 

( x- 6 ) : ( -1,5) = -6 : ( x- 6 )

\(1\dfrac{2}{3}:\left(x-4\right)=5\dfrac{1}{6}:\left(x+1\right)\)

Answer 1

a: 

ĐKXĐ: x<>6

\(\dfrac{x-6}{-1,5}=\dfrac{-6}{x-6}\)

=>\(\left(x-6\right)^2=\left(-1,5\right)\cdot\left(-6\right)=9\)

=>\(\left[{}\begin{matrix}x-6=3\\x-6=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=9\left(nhận\right)\\x=3\left(nhận\right)\end{matrix}\right.\)

b: \(\dfrac{1\dfrac{2}{3}}{x-4}=\dfrac{5\dfrac{1}{6}}{x+1}\)

=>\(\dfrac{\dfrac{5}{3}}{x-4}=\dfrac{\dfrac{31}{6}}{x+1}\)

=>\(\dfrac{5}{3}\left(x+1\right)=\dfrac{31}{6}\left(x-4\right)\)

=>\(10\left(x+1\right)=31\left(x-4\right)\)

=>31x-124=10x+10

=>21x=134

=>\(x=\dfrac{134}{21}\)(nhận)

Answer 2

Đề yêu cầu làm gì với tỉ lệ thức đó em?