tìm x biết
(x-2020)x+1-(x-2020)x+11=0
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30 tháng 8 2021
\(2021x\left(x-2020\right)-x+2020=0\)
\(\Rightarrow2021x\left(x-2020\right)-\left(x-2020\right)=0\)
\(\Rightarrow\left(x-2020\right)\left(2021x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x-2020=0\\2021x-1=0\end{matrix}\right.\)\(\Rightarrow\left[{}\begin{matrix}x=2020\\x=\dfrac{1}{2021}\end{matrix}\right.\)
30 tháng 8 2021
Ta có: \(2021x\left(x-2020\right)-x+2020=0\)
\(\Leftrightarrow\left(x-2020\right)\left(2021x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2020\\x=\dfrac{1}{2021}\end{matrix}\right.\)
CI
1
10 tháng 10 2021
\(a,\Rightarrow x^2+4x+4+x^2-2x+1+x^2-9-3x^2=-8\\ \Rightarrow2x=-4\\ \Rightarrow x=-2\\ b,\Rightarrow2021x\left(x-2020\right)-\left(x-2020\right)=0\\ \Rightarrow\left(2021x-1\right)\left(x-2020\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-2020=0\\2021x-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=2020\\x=\dfrac{1}{2021}\end{matrix}\right.\)
CI
1
12 tháng 10 2021
a) \(\Rightarrow x^2+4x+4+x^2-2x+1+x^2-9-3x^2=-8\)
\(\Rightarrow2x=-4\Rightarrow x=-2\)
b) \(\Rightarrow2021x\left(x-2020\right)-\left(x-2020\right)=0\)
\(\Rightarrow\left(x-2020\right)\left(2021x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2020\\x=\dfrac{1}{2021}\end{matrix}\right.\)
2 tháng 11 2021
Bài 1:
a) \(\Rightarrow3x^2+3x-2x^2-4x+x+1=0\)
\(\Rightarrow x^2=-1\left(VLý\right)\Rightarrow S=\varnothing\)
b) \(\Rightarrow\left(x-2020\right)\left(2x-1\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2020\\x=\dfrac{1}{2}\end{matrix}\right.\)
c) \(\Rightarrow\left(x-10\right)\left(x+2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=10\\x=-2\end{matrix}\right.\)
d) \(\Rightarrow\left(x+4\right)^2=0\Rightarrow x=-4\)
e) \(\Rightarrow\left(x+6\right)\left(x-7\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=-6\\x=7\end{matrix}\right.\)
f) \(\Rightarrow\left(5x-4\right)\left(5x+4\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{4}{5}\\x=-\dfrac{4}{5}\end{matrix}\right.\)
Bài 2:
a) \(\Rightarrow3x\left(x^2-4\right)=0\Rightarrow3x\left(x-2\right)\left(x+2\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
b) \(\Rightarrow x\left(x-2\right)+5\left(x-2\right)=0\Rightarrow\left(x-2\right)\left(x+5\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}x=2\\x=-5\end{matrix}\right.\)
22 tháng 7 2019
b) \(x^3+6x^2+9x=0\)
\(\Leftrightarrow x^3+3x^2+3x^2+9x=0\)
\(\Leftrightarrow x^2\left(x+3\right)+3x\left(x+3\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(x^2+3x\right)=0\)
\(\Leftrightarrow\left(x+3\right)x\left(x+3\right)=0\)
\(\Leftrightarrow\left(x+3\right)^2x=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x+3\right)^2=0\\x=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=0\end{cases}}}\)
Vậy \(x\in\left\{-3;0\right\}\)
22 tháng 7 2019
a) \(2x\left(x-2\right)+x^2=4\)
\(\Leftrightarrow2x\left(x-2\right)+x^2-4=0\)
\(\Leftrightarrow2x\left(x-2\right)+\left(x-2\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(2x+x+2\right)=0\)
\(\Leftrightarrow\left(x-2\right)\left(3x+2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=0\\3x+2=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=\frac{-2}{3}\end{cases}}}\)
Vậy \(x\in\left\{\frac{-2}{3};2\right\}\)
AH
Akai Haruma
Giáo viên
13 tháng 11 2023
Lời giải:
$\frac{x+2}{2020}+\frac{x+2}{2020}=\frac{x+2019}{3}+\frac{x+2020}{2}$
$\frac{x+2}{2020}+1+\frac{x+2}{2020}+2=\frac{x+2019}{3}+1+\frac{x+2020}{2}+1$
$\frac{x+2022}{2020}+\frac{x+2022}{2020}=\frac{x+2022}{3}+\frac{x+2022}{2}$
$(x+2022)(\frac{1}{2020}+\frac{1}{2020}-\frac{1}{3}-\frac{1}{2})=0$
Dễ thấy $\frac{1}{2020}+\frac{1}{2020}-\frac{1}{3}-\frac{1}{2}<0$
Do đó: $x+2022=0$
$\Rightarrow x=-2022$
NA
12 tháng 3 2022
\(a.=\dfrac{2019}{2020}\times\left(\dfrac{4}{11}+\dfrac{5}{11}+\dfrac{2}{11}\right)\\ =\dfrac{2019}{2020}\times1=\dfrac{2019}{2020}\\ b.=\dfrac{25}{27}\times\left(\dfrac{17}{14}-\dfrac{1}{14}-\dfrac{2}{14}\right)\\ =\dfrac{25}{27}\times1=\dfrac{25}{27}\)
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