Question

2x + 1/-27 = -3/2x + 1

Answer 1

Đề là: \(2x+\dfrac{1}{-27}=\dfrac{-3}{2x}+1\)

Hay: \(\dfrac{2x+1}{-27}=\dfrac{-3}{2x+1}\) vậy em?

Answer 2

ĐKXĐ: x<>-1/2

\(\dfrac{2x+1}{-27}=\dfrac{-3}{2x+1}\)

=>\(\left(2x+1\right)^2=\left(-27\right)\cdot\left(-3\right)=81\)

=>\(\left[{}\begin{matrix}2x+1=9\\2x+1=-9\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}2x=8\\2x=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\left(nhận\right)\\x=-5\left(nhận\right)\end{matrix}\right.\)

Answer 3

\(\dfrac{2x+1}{-27}=\dfrac{-3}{2x+1}\)

=>(2x+1).(2x+1)=(-27).(-3)

=>\(\left(2x+1\right)^2\)=81=\(9^2=\left(-9\right)^2\)

th1:

2x+1=9

    2x=8

     x=4

th2 :

2x+1=-9

2x    =-10

  x    =-5

vậy x thuộc{4;-5}