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a, x=-505
b, x=35/8 hoac -37/8
nhung cau con lai thi tong tu
a) ( 5x + 3) - ( x -1 ) = 0
\(\Leftrightarrow\)5x + 3 - x +1 =0
\(\Leftrightarrow\)4x +4 = 0
\(\Leftrightarrow\)4x = -4 \(\Leftrightarrow\)x = \(\frac{-4}{4}\) =-1
b) (3x -2 ) - ( 5x + 4) = ( x - 3) - ( x +5 )
\(\Leftrightarrow\)3x -2 - 5x -4 = x-3 - x -5
\(\Leftrightarrow\)3x - 5x - x + x = -3 -5 +2 +4
\(\Leftrightarrow\)-2x = -2 \(\Leftrightarrow\)x =\(\frac{-2}{-2}\)= 1
a) \(\left(x-\frac{1}{3}\right)\left(5x+2\right)>0\)
<=> \(\left[\begin{array}{nghiempt}x-\frac{1}{3}>0\\5x+3< 0\end{array}\right.\) hoặc \(\left[\begin{array}{nghiempt}x-\frac{1}{3}< 0\\5x+3>0\end{array}\right.\)
<=> \(\left[\begin{array}{nghiempt}x>\frac{1}{3}\\5x< 3\end{array}\right.\) hoặc \(\left[\begin{array}{nghiempt}x< \frac{1}{3}\\5x>3\end{array}\right.\)
<=> \(\left[\begin{array}{nghiempt}x>\frac{1}{3}\\x< \frac{3}{5}\end{array}\right.\) hoặc \(\left[\begin{array}{nghiempt}x< \frac{1}{3}\\x>\frac{3}{5}\end{array}\right.\)
Vậy...
a) \(\left(x-\frac{1}{3}\right)\left(5x+2\right)>0\)
\(\Leftrightarrow\begin{cases}x-\frac{1}{3}>0\\5x+2>0\end{cases}\) hoặc \(\begin{cases}x-\frac{1}{3}< 0\\5x+2< 0\end{cases}\)
\(\Leftrightarrow\begin{cases}x>\frac{1}{3}\\x>-\frac{2}{5}\end{cases}\) hoặc \(\begin{cases}x< \frac{1}{3}\\x< -\frac{2}{5}\end{cases}\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x>\frac{1}{3}\\x< -\frac{2}{5}\end{array}\right.\)
b) \(\left(5x+3\right)\left(3x-2\right)< 0\)
\(\Leftrightarrow\begin{cases}5x+3>0\\3x-2< 0\end{cases}\) hoặc \(\begin{cases}5x+3< 0\\3x-2>0\end{cases}\)
\(\Leftrightarrow\begin{cases}x>-\frac{3}{5}\\x< \frac{2}{3}\end{cases}\) hoặc \(\begin{cases}x< -\frac{3}{5}\\x>\frac{2}{5}\end{cases}\) (loại)
\(\Leftrightarrow-\frac{3}{5}< x< \frac{2}{3}\)
Câu a :
\(x^2-2x-3=0\)
\(\Leftrightarrow x^2-x+3x-3=0\)
\(\Leftrightarrow x\left(x-1\right)+3\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1=0\Rightarrow x=1\\x+3=0\Rightarrow x=-3\end{matrix}\right.\)
Câu b :
\(2x^2+3=-5x\)
\(\Leftrightarrow2x^2+3+5x=0\)
\(\Leftrightarrow2x^2+2x+3x+3=0\)
\(\Leftrightarrow2x\left(x+1\right)+3\left(x+1\right)=0\)
\(\Leftrightarrow\left(x+1\right)\left(2x+3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+1=0\Rightarrow x=-1\\2x+3=0\Rightarrow x=-\dfrac{3}{2}\end{matrix}\right.\)
Mấy câu sau khó quá ko bt làm :)
(5x - 1)(2x - 1/3) = 0
<=> 5x - 1 = 0 hoặc 2x - 1/3 = 0
=> x = 1/5 hoặc x = 1/6
vậy x= 1/5 hoặc x= 1/6
a) (5x - 1) . ( 2x - 1/3 ) = 0
=> 5x - 1 = 0
2x - 1/3 = 0
=> 5x = 1
2x = 1/3
=> x = 1/5
x = 1/6
a) \(\left(5x-1\right)\left(\frac{2x-1}{3}\right)=0\)
\(\Rightarrow\orbr{\begin{cases}5x-1=0\\2x-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=\frac{1}{2}\end{cases}}\)
b) \(6\left(x-1\right)+2x\left(x-1\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(6+2x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\6+2x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-3\end{cases}}}\)
a) \(\left(5x-1\right)\cdot\frac{2x-1}{3}=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x-1=0\\\frac{2x-1}{3}=0\end{cases}\Leftrightarrow\orbr{\begin{cases}5x=1\\2x-1=0\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{1}{5}\\x=\frac{1}{2}\end{cases}}}\)
Vậy \(x=\frac{1}{5};x=\frac{1}{2}\)
b) 6(x-1)+2x(x-1)=0
<=> (x-1)(6+2x)=0
<=> \(\orbr{\begin{cases}x-1=0\\6+2x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-3\end{cases}}}\)
Vậy x=1; x=-3
5x . ( x-1/3)=0
x-1/3= 0: 5x
x-1/3=0
x=0+1/3=1/3
phương linh lớp 6
để tích =0 ta có 1 trong 2 thừa số =0
\(=>\orbr{\begin{cases}5x=0\\x-\frac{1}{3}=0\end{cases}}=>\orbr{\begin{cases}x=0:5\\x=0+\frac{1}{3}\end{cases}}=>\orbr{\begin{cases}x=0\\x=\frac{1}{3}\end{cases}}\)
mik ko chắc lắm
sai thôi nhé :-)