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` (x+721) /2020+(x+21) /700+ (x+721)/2021=-1`
`<=>(x+721)/2020+(x+21) /700+ 1+ (x+721)/2021=0`
`<=>(x+721)/2020+(x+721) /700+ (x+721)/2021=0 `
`<=>(x +721) (1/2020+1/700+1/2021 )= 0`
Vì `1/2020+1/700+1/2021>0`
`=>x+721 =0 <=>x=-721`
Vậy `S={-721}`
Ta có: \(\dfrac{x+721}{2020}+\dfrac{x+21}{700}+\dfrac{x+721}{2021}=-1\)
\(\Leftrightarrow\dfrac{x+721}{2020}+\dfrac{x+721}{700}+\dfrac{x+721}{2021}=0\)
\(\Leftrightarrow\left(x+721\right)\left(\dfrac{1}{2020}+\dfrac{1}{700}+\dfrac{1}{2021}\right)=0\)
mà \(\dfrac{1}{2020}+\dfrac{1}{700}+\dfrac{1}{2021}>0\)
nên x+721=0
hay x=-721
Vậy: S={-721}
a: x=81-257=-176
b: x=-35+546=511
c: x=721+615=1336
d: x=-500:25=-20
e: x=-15*5=-75
f: x=612/9=68
`@` `\text {Ans}`
`\downarrow`
`x + 257 = 981`
`=> x = 981 - 257`
`=> x = 724`
Vậy, `x = 724`
`x - 546 = 35`
`=> x = 35 + 546`
`=> x = 581`
Vậy, `x = 581`
`721 - x = 615`
`=> x = 721 - 615`
`=> x = 106`
Vậy, `x = 106`
`@` `\text {Kaizuu lv uuu}`
Số số hạng là: \(\dfrac{770-7}{7}+1=110-1+1=110\left(số\right)\)
Tổng của dãy số là:
\(\left(770+7\right)\cdot\dfrac{110}{2}=42735\)
a) \(x\left(x+2021\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+2021=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-2021\end{cases}}\).
b) \(\left(x-2020\right)\left(x+2021\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2020=0\\x+2021=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=2020\\x=-2021\end{cases}}\).
c) \(\left(x-2021\right)\left(x^2+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-2021=0\\x^2+1=0\end{cases}}\Leftrightarrow x=2021\).
d) \(\left(x+1\right)+\left(x+3\right)+\left(x+5\right)+...+\left(x+99\right)=0\)
Xét tổng: \(A=1+3+5+...+99\)
Số số hạng của dãy số là: \(\frac{99-1}{2}+1=50\).
Tổng của dãy là: \(A=\left(99+1\right)\times50\div2=2500\).
\(\left(x+1\right)+\left(x+3\right)+\left(x+5\right)+...+\left(x+99\right)=0\)
\(\Leftrightarrow50x+2500=0\)
\(\Leftrightarrow x=-50\).
Ta có: \(A=\left(1+\dfrac{2}{3}\right)\cdot\left(1+\dfrac{2}{5}\right)\cdot\left(1+\dfrac{2}{7}\right)\cdot...\cdot\left(1+\dfrac{2}{2021}\right)\)
\(=\dfrac{5}{3}\cdot\dfrac{7}{5}\cdot\dfrac{9}{7}\cdot...\cdot\dfrac{2023}{2021}\)
\(=\dfrac{2023}{3}\)
a) ( 2x + 1 ) . 2907 = 8 721
2x + 1 = 3
2x = 2
x = 1
`Answer:`
\(\frac{x+721}{2020}+\frac{x+21}{700}+\frac{x+721}{2021}=-1\) (Mình sửa đề nhé.)
\(\Leftrightarrow\frac{x+721}{2020}+\left(\frac{x+21}{700}+1\right)+\frac{x+721}{2021}=0\)
\(\Leftrightarrow\frac{x+721}{2020}+\left(\frac{x+21}{700}+\frac{700}{700}\right)+\frac{x+721}{2021}=0\)
\(\Leftrightarrow\frac{x+721}{2020}+\frac{x+21+700}{700}+\frac{x+721}{2021}=0\)
\(\Leftrightarrow\frac{x+721}{2020}+\frac{x+721}{700}+\frac{x+721}{2021}=0\)
\(\Leftrightarrow\left(x+721\right)\left(\frac{1}{2020}+\frac{1}{700}+\frac{1}{2021}\right)=0\)
Mà \(\frac{1}{2020}+\frac{1}{700}+\frac{1}{2021}\ne0\)
\(\Rightarrow x+721=0\Leftrightarrow x=-721\)