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TK :
5x + 5x +2 = 650
5x + 5x . 52 = 650
5x .( 1 +25 ) = 650
5x .26 = 650
5x = 650 / 26 =25
5x = 52
nên x=2
Lời giải:
Gọi $d=ƯCLN(3n+2, 2n+3)$
$\Rightarrow 3n+2\vdots d; 2n+3\vdots d$
$\Rightarrow 3(2n+3)-2(3n+2)\vdots d$
$\Rightarrow 5\vdots d$
$\Rightarrow d=1$ hoặc $d=5$.
Để ps đã cho là tối giản thì $d\neq 5$. Nghĩa là $2n+3\not\vdots 5$
$\Rightarrow 2n-2\not\vdots 5$
$\Rightarrow 2(n-1)\not\vdots 5$
$\Rightarrow n-1\not\vdots 5$
$\Rightarrow n\neq 5k+1$ với $k$ tự nhiên.
( 7 - \(x\))3 + (11 - 7)2 = 141
(7 - \(x\))3 + 42 = 141
( 7 - \(x\))3 + 16 = 141
(7 - \(x\))3 = 141 - 16
( 7 - \(x\))3 = 125
(7 - \(x\))3 = 53
7 - \(x\) = 5
\(x\) = 7 - 5
\(x\) = 2
\(\left(7-x\right)^3+\left(11-7\right)^2=141\)
\(\left(7-x\right)^3+4^2=141\)
\(\left(7-x\right)^3+16=141\)
\(\left(7-x\right)^3=141-16\)
\(\left(7-x\right)^3=125\)
\(\left(7-x\right)=5^3\)
\(\Rightarrow7-x=5\)
\(x=7-5\)
\(x=2\)
\(\text{Vậy x=2}\)
\(\frac{\frac{2}{3}+\frac{2}{5}-\frac{2}{9}}{\frac{4}{3}+\frac{4}{5}-\frac{4}{9}}\)
\(=\frac{2\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{9}\right)}{4\left(\frac{1}{3}+\frac{1}{5}-\frac{1}{9}\right)}\)
\(=\frac{2}{4}=\frac{1}{2}\)
Anh POP POP ơi nhờ anh giải giúp em mấy bài tập em vừa đăng với ạ
Lời giải:
$\frac{x}{3}=\frac{2}{3}+\frac{-1}{7}=\frac{14}{21}+\frac{-3}{21}=\frac{11}{21}$
$x=3.\frac{11}{21}=\frac{11}{7}$
+) \(\dfrac{1}{3}x=-\dfrac{4}{3}-\dfrac{1}{2}=-\dfrac{11}{6}\)
\(x=-\dfrac{11}{6}:\dfrac{1}{3}=-\dfrac{11}{2}\)
+) \(\dfrac{4}{3}x=-\dfrac{2}{3}+\dfrac{1}{2}=-\dfrac{1}{6}\)
\(x=-\dfrac{1}{6}:\dfrac{4}{3}=-\dfrac{1}{8}\)
+) \(2\left(x-1\right)=\dfrac{5}{2}+\dfrac{2}{3}=\dfrac{19}{6}\)
\(x-1=\dfrac{19}{12}\)
\(x=\dfrac{31}{12}\)
\(\dfrac{1}{3}x+\dfrac{1}{2}=-\dfrac{4}{3}\)
\(\dfrac{1}{3}x=\left(-\dfrac{4}{3}\right)-\dfrac{1}{2}\)
\(\dfrac{1}{3}x=-\dfrac{11}{6}\)
\(x=\left(-\dfrac{11}{6}\right):\dfrac{1}{3}\)
\(x=-\dfrac{11}{2}\)
\(-\dfrac{2}{3}-\dfrac{4}{3}x=-\dfrac{1}{2}\)
\(\dfrac{4}{3}x=\left(-\dfrac{2}{3}\right)-\dfrac{-1}{2}\)
\(\dfrac{4}{3}x=-\dfrac{1}{6}\)
\(x=\left(-\dfrac{1}{6}\right):\dfrac{4}{3}\)
\(x=-\dfrac{1}{8}\)
\(\dfrac{5}{2}-2\left(x-1\right)=-\dfrac{2}{3}\)
\(2\left(x-1\right)=\dfrac{5}{2}-\left(-\dfrac{2}{3}\right)\)
\(2\left(x-1\right)=\dfrac{19}{6}\)
\(\left(x-1\right)=\dfrac{19}{6}:2\)
\(x-1=\dfrac{19}{12}\)
\(x=\dfrac{19}{12}+1\)
\(x=\dfrac{31}{12}\)
C=22023-(22022+22021+...22+21+20)
C=22023 - [(22023+22022+...22+21)-(22022+22021+...22+21+20)]
C=22023 -(22023-1)
C=22023 - 22023 +1
C = 0+1
C = 1