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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 :)
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a, x=-505
b, x=35/8 hoac -37/8
nhung cau con lai thi tong tu
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Ta có : (x + 1)(x - 3) = 0
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x-3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-1\\x=3\end{cases}}\)
Ta có : \(\left(3x-1\right)\left(-\frac{1}{2}x+5\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-1=0\\-\frac{1}{2}x+5=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}3x=1\\-\frac{1}{2}x=-5\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=-5.\left(-2\right)\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=10\end{cases}}\)
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(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
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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
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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
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a) |5x - 1| - x = 2x + 3
<=> |5x - 1| = 2x + 3 + x
<=> |5x - 1| = 3x + 3
<=> 5x - 1 = 3x + 3 hoặc 5x - 1 = -(3x + 3)
5x - 1 - 3x = 3 5x - 1 + 3x = -3
2x - 1 = 3 8x - 1 = -3
2x = 3 + 1 8x = -3 + 1
2x = 4 8x = -2
x = 2 x = -2/8 = -1/4
=> x = 2 hoặc x = -1/4
b) Ta có: |2x + 1| \(\ge\)0 \(\forall\)x
|x - 3| \(\ge\)0 \(\forall\)x
|2x+ 3| \(\ge\)0 \(\forall\)x
=> |2x + 1| + |x - 3| + |2x + 3| \(\ge\)0 \(\forall\)x
=> x - 5 \(\ge\)0 \(\forall\)x => x \(\ge\)5 \(\forall\)x
Với x \(\ge\)5
=> 2x + 1 + x - 3 + 2x + 3 = x - 5
=> 4x + 1 = x - 5
=> 4x - x = -5 - 1
=> 3x = -6
=> x = -2 (ktm)
Vậy ko có giá trị thõa mãn
vì (5x-1)(2x-1/3)=0
=> \(\orbr{\begin{cases}5x-1=0\\2x-\frac{1}{3}=0\end{cases}}\)
=>\(\orbr{\begin{cases}5x=1\\2x=\frac{1}{3}\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{1}{5}\\x=\frac{1}{6}\end{cases}}\)
Vậy \(x\in\left\{\frac{1}{5};\frac{1}{6}\right\}\)