a )\(\left[\begin{array}{nghiempt}x+1\ne0\\2x-3\ne0\end{array}\right.\)

\(ĐKXĐ:x\ne-1,x\ne\frac{3}{2}\)

b ) \(A=\frac{2x^2-3x}{\left(x+1\right)\left(2x-3\right)}=\frac{x\left(2x-3\right)}{\left(x+1\right)\left(2x-3\right)}=\frac{x}{x+1}\)

Để \(A=3\) thì :

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

Chúc bạn học tốt

a) ĐKXĐ:\(x\ne-1,x\ne\frac{3}{2}\)

b)\(A=\frac{2x^2-3x}{\left(x+1\right)\left(2x-3\right)}=\frac{x\left(2x-3\right)}{\left(x+1\right)\left(2x-3\right)}=\frac{x}{x+1}\)

để A = 3 thì \(\frac{x}{x+1}=3\Leftrightarrow x=3x+3\Leftrightarrow x-3x=3\Leftrightarrow-2x=3\Leftrightarrow x=\frac{-3}{2}\)

DKXD : \(x+1\ne0\Rightarrow x\ne-1,2x-3\ne0\Rightarrow2x\ne3\Rightarrow x\ne\frac{3}{2}\)

\(A=\frac{2x^2-3x}{\left(x+1\right)\left(2x-3\right)}=3\Rightarrow A==\frac{2x^2-3x}{\left(x+1\right)\left(2x-3\right)}=\frac{3.\left(\left(x+1\right)\left(2x-3\right)\right)}{\left(x+1\right)\left(2x-3\right)}\)

\(\Rightarrow A=\frac{2x^2-3x}{\left(x+1\right)\left(2x-3\right)}=\frac{3.\left(2x^2-3x-2x+3\right)}{\left(x+1\right)\left(2x-3\right)}\Rightarrow A=\frac{2x^2-3x}{\left(x+1\right)\left(2x-3\right)}=\frac{6x^2-9x-6x+9}{\left(x+1\right)\left(2x-3\right)}\)\(\Rightarrow A=2x^2-3x=6x^2-15x+9\Rightarrow A=0=4x^2-12x+9\Rightarrow A=0=\left(2x-3\right)^2\)

\(\Rightarrow2x-3=0\Rightarrow x=\frac{3}{2}\left(TMDKXD\right)\)

t i c k cho mình 1 cái nha mình bị trừ 50đ ùi hic hic ủng hộ nhé

chết lộn dấu rồi nha

a) P xác định  <=> \(\hept{\begin{cases}x+1\ne0\\2x-6\ne0\end{cases}\Leftrightarrow}\hept{\begin{cases}x\ne-1\\x\ne3\end{cases}}\)

b)\(P=\frac{3x^2+3x}{\left(x+1\right)\left(2x-6\right)}=1\Leftrightarrow3x^2+3x=\left(x+1\right)\left(2x-6\right)\)

\(\Leftrightarrow3x\left(x+1\right)-\left(x+1\right)\left(2x-6\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(3x-2x+6\right)=0\)

\(\Leftrightarrow\left(x+1\right)\left(x+6\right)=0\)

Vì \(x\ne-1\Leftrightarrow x+1\ne0\Rightarrow x+6=0\Leftrightarrow x=-6\)

Vậy ........

ĐKXĐ: x khac -1 và x khac 3

a, ĐKXĐ: x\(\ne\)-1, x\(\ne\)3

b,ta có: P =\(\frac{3x^2+3x}{\left(x+1\right)\left(2x-6\right)}\)=\(\frac{3x\left(x+1\right)}{\left(x+1\right)\left(2x-6\right)}\)\(=\frac{3x}{2x-6}\)

Để P = 1

=>\(\frac{3x}{2x-6}=1\)

=> 2x - 6 = 3x

=> 2x - 3x = 6

=> -x =6

=>x = -6

a) ĐKXĐ \(x +1\ne0=>x\ne-1;2x-6\ne0=>x\ne3\)

b) ta có 

\(P=\frac{3x\left(x+1\right)}{\left(x+1\right)\left(2x-6\right)}=\frac{3x}{2x-6}\)

để P = 1 thì \(\frac{3x}{2x-6}=1= >3x=2x-6\)

                                                        \(< =>3x-2x=-6=>x=-6\)

a) điều kiện xác định: x≠3 và x≠2

b) \(\dfrac{x^2-4}{\left(x-3\right)\left(x-2\right)}\)=\(\dfrac{\left(x-2\right)\left(x+2\right)}{\left(x-3\right)\left(x-2\right)}\)=\(\dfrac{x+2}{x-3}\)

Tại x=13 ta có \(\dfrac{13+2}{13-3}\)=\(\dfrac{3}{2}\)

a: ĐKXĐ: x<>0; x<>-1

b: E=5(x+1)/2x(x+1)=5/2x

b: Để E=1 thì 5/2x=1

=>2x=5

=>x=5/2

a) \(P=\frac{3x^2+3x}{\left(x+1\right)\left(3x-6\right)}\left(ĐKXĐ:x\ne-1;2\right)\)

b)   \(P=\frac{3x\left(x+1\right)}{\left(x+1\right)\left(3x-6\right)}\)

\(P=\frac{3x}{3x-6}\)

Khi  \(x=3\Leftrightarrow P=\frac{3\times3}{3\times3-6}\)

\(\Leftrightarrow P=3\)

c) Để P = 1 thì \(\frac{3x}{3x-6}=1\)

\(\Leftrightarrow3x=3x-6\)

\(\Leftrightarrow-6x=-6\)

\(\Leftrightarrow x=1\)

d) Ta có : \(P>2\Leftrightarrow\frac{3x}{3x-6}>2\)

\(\Leftrightarrow3x>2\left(3x-6\right)\)

\(\Leftrightarrow3x>6x-12\)

\(\Leftrightarrow-3x>-12\)

\(\Leftrightarrow x< 4\)