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1 , <=> 25x^2 + 10x + 1 - ( 25x^2 - 9) = 30
<=> 25x^2 + 10x + 1 - 25x^2 + 9 = 30
<=> 10x + 10 = 30
<=> 10 ( x + 1) = 30
<=> x + 1 = 3
<=> x = 2
2, ( x + 3)(x^2 - 3x + 9 ) - x(x+2)(x-2) = 15
<=> x^3 - 27 - x(x^2 - 4) = 15
<=> x^3 - 27 - x^3 + 4x = 15
<=> 4x -27 = 15
<=> 4x = 15 + 27
<=> 4x =42
<=> x = 42/4 = 21/2
******************
\(\Rightarrow5x^2-15x-5x^2=45\)
\(\Rightarrow-15x=45\Rightarrow x=-3\)
=> Chọn C
b: \(\Leftrightarrow x\left(x-25\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=25\end{matrix}\right.\)
c: \(\Leftrightarrow\left(x-1\right)\left(5x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{5}\end{matrix}\right.\)
\(b,\Leftrightarrow x\left(x-25\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=25\end{matrix}\right.\\ c,\Leftrightarrow\left(x-1\right)\left(5x-1\right)=0\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{1}{5}\end{matrix}\right.\)
a) \(5x\left(x-1\right)=x-1\)
\(\Rightarrow5x\left(x-1\right)-\left(x-1\right)=0\)
\(\Rightarrow\left(x-1\right).\left(5x-1\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\5x-1=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{1}{5}\end{cases}}\)
Vậy \(x=1\) hoặc \(x=\frac{1}{5}\)
b) \(2\left(x+5\right)-x^2-5x\)
\(\Rightarrow2\left(x+5\right)-x\left(x+5\right)\)
\(\Rightarrow\left(x+5\right).\left(2-x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x+5=0\\2-x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-5\\x=2\end{cases}}\)
Vậy \(x=-5\)hoặc \(x=2\)
\(\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)+2\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow8x+16-5x^2-10x+4x^2+4x-8x-8+2x^2-8=0\)
\(\Leftrightarrow x^2-6x=0\Leftrightarrow x\left(x-6\right)=0\Leftrightarrow\orbr{\begin{cases}x=0\\x-6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=6\end{cases}}}\)
Vậy S = { 0, 6}
sửa lại:
a) \(5x\left(x-1\right)=x-1\)
=> \(5x\left(x-1\right)-\left(x-1\right)=0\)
=> \(\left(x-1\right)\left(5x-1\right)=0\)
=> x - 1 = 0 hoặc 5x - 1 = 0
=> x = 1 hoặc 5x = 1 => x = 1/5
Vậy x = 1 hoặc x = 1/5
b) \(2\left(5+x\right)-x^2-5x=0\)
=> \(2\left(5+x\right)-\left(x^2+5x\right)=0\)
=> \(2\left(5+x\right)-x\left(x+5\right)=0\)
=> \(\left(x+5\right)\left(2-x\right)=0\)
=> x + 5 = 0 hoặc 2 - x = 0
=> x = -5 hoặc x = 2
a, 5x(x-1)=x-1
<=>5x(x-1)-(x-1)=0
<=>(5x-1)(x-1)=0
<=>5x-1=0 hoặc x-1=0
<=>x=1/5 hoặc x=1
b,2(5+x)-x2-5x=0
<=>2(x+5)-x(x+5)=0
<=>(2-x)(x+5)=0
<=>2-x=0 hoặc x+5=0
<=>x=2 hoặc x=-5
\(5x\left(x-2\right)=x-2\)
\(\Leftrightarrow5x\left(x-2\right)-x+2=0\)
\(\Leftrightarrow5x^2-10x-x+2=0\)
\(\Leftrightarrow\left(5x^2-x\right)-\left(10x-2\right)=0\)
\(\Leftrightarrow x\left(5x-1\right)-2\left(5x-1\right)=0\)
\(\Leftrightarrow\left(5x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}5x-1=0\\x-2=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{5}\\x=2\end{cases}}\)
Vậy \(S=\left\{\frac{1}{5};2\right\}\)
tìm x biết: 5x(x-2)=x-2
x=1/5,
x=2
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