\(a,
x\left(x+1\right)-x^2+1=0\)
\(\Rightarrow
x\left(x+1\right)-x\left(x+1\right)=0\)
\(\Rightarrow
\left(x-x\right)\left(x+1\right)=0\)
\(\Rightarrow
x+1=0\)
Vậy \(x=-1\)
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\(a,4x\left(x-2\right)-6+3x=0\)
\(\Rightarrow
4x\left(x-2\right)-3\left(x-2\right)=0\)
\(\Rightarrow\left(4x-3\right)\left(x-2\right)=0\)
\(\Rightarrow
\left[{}\begin{matrix}4x-3=0\\x-2=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}4x=3\\x=2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=2\end{matrix}\right.\) Vậy \(x\in\left\{\dfrac{3}{4};
2\right\}\)
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\(a,x\left(x+2\right)-3\left(x+2\right)=0\)
\(\Rightarrow\left(x-3\right)\left(x+2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-3=0\\x-2=0\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=3\\x=2\end{matrix}\right.\)
Vậy \(x\in\left\{3;2\right\}\)
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\(a,
8x\left(x-5\right)-2x+10=0\)
\(\Rightarrow8x\left(x-5\right)-2\left(x-5\right)=0\)
\(\Rightarrow\left(8x-2\right)\left(x-5\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}8x-2=0\\x-5=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{1}{4}\\x=5\end{matrix}\right.\)
Vậy \(x\in\left\{\dfrac{1}{4};
5\right\}\)
a) x(x + 1) - x² + 1 = 0
x(x + 1) - (x² - 1) = 0
x(x + 1) - (x - 1)(x + 1) = 0
(x + 1)(x - x + 1) = 0
x + 1 = 0
x = -1
Vậy x = -1
a) 4x(x - 2) - 6 + 3x = 0
4x(x - 2) - (3x - 6) = 0
4x(x - 2) - 3(x - 2) = 0
(x - 2)(4x - 3) = 0
x - 2 = 0 hoặc 4x - 3 = 0
*) x - 2 = 0
x = 2
*) 4x - 3 = 0
4x = 3
x = 3/4
Vậy x = 3/4; x = 2
a) x(x + 2) - 3(x + 2) = 0
(x + 2)(x - 3) = 0
x + 2 = 0 hoặc x - 3 = 0
*) x + 2 = 0
x = -2
*) x - 3 = 0
x = 3
Vậy x = -2; x = 3
a) 8x(x - 5) - 2x + 10 = 0
8x(x - 5) - (2x - 10) = 0
8x(x - 5) - 2(x - 5) = 0
(x - 5)(8x - 2) = 0
x - 5 = 0 hoặc 8x - 2 = 0
*) x - 5 = 0
x = 5
*) 8x - 2 = 0
8x = 2
x = 2/8
x = 1/4
Vậy x = 1/4; x = 5