X - 2 = 6
27 9 18
giúp mik giải vs nha
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1:
a: \(=\dfrac{-4}{7}+\dfrac{4}{7}+\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=-\dfrac{1247}{1190}\)
b:
Sửa đề: \(\dfrac{-5}{13}+\dfrac{4}{19}+\dfrac{-8}{13}+\dfrac{15}{19}+\dfrac{45}{6}\)
\(=\dfrac{-5}{13}-\dfrac{8}{13}+\dfrac{4}{19}+\dfrac{15}{19}+\dfrac{45}{6}=\dfrac{9}{2}\)
\(a)x\times\dfrac{4}{7}=8\) \(b)\dfrac{1}{6}:x=\dfrac{5}{18}\)
\(x=8:\dfrac{4}{7}\) \(x=\dfrac{1}{6}:\dfrac{5}{18}\)
\(x=\dfrac{56}{4}=14\) \(x=\dfrac{18}{30}=\dfrac{3}{5}\)
b) \(2020^{x\left(x+6\right)}=1\)
\(\Leftrightarrow2020^{x\left(x+6\right)}=2020^0\)
\(\Leftrightarrow x\left(x+6\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x+6=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=0\\x=-6\end{cases}}\)
Vậy \(x=0\)hoặc \(x=-6\)
a; \(\dfrac{2}{3}\)\(x\) - \(\dfrac{3}{2}\)\(x\) = \(\dfrac{5}{12}\)
(\(\dfrac{2}{3}\) - \(\dfrac{3}{2}\))\(x\) = \(\dfrac{5}{12}\)
- \(\dfrac{5}{6}\)\(x\) = \(\dfrac{5}{12}\)
\(x\) = \(\dfrac{5}{12}\) : (- \(\dfrac{5}{6}\))
\(x=\) - \(\dfrac{1}{2}\)
Vậy \(x=-\dfrac{1}{2}\)
b; \(\dfrac{2}{5}\) + \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\)
\(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\) - \(\dfrac{2}{5}\)
\(\dfrac{3}{5}\).(3\(x\) - 3,7) = - \(\dfrac{57}{10}\)
3\(x\) - 3,7 = - \(\dfrac{57}{10}\) : \(\dfrac{3}{5}\)
3\(x\) - 3,7 = - \(\dfrac{19}{2}\)
3\(x\) = - \(\dfrac{19}{2}\) + 3,7
3\(x\) = - \(\dfrac{29}{5}\)
\(x\) = - \(\dfrac{29}{5}\) : 3
\(x\) = - \(\dfrac{29}{15}\)
Vậy \(x\) \(\in\) - \(\dfrac{29}{15}\)
Trước hết ta c/m BĐT: \(\left(a+b\right)^2\le2\left(a^2+b^2\right)\)
Thật vây, BĐT tương đương: \(a^2+2ab+b^2\le2a^2+2b^2\)
\(\Leftrightarrow a^2-2ab+b^2\ge0\Leftrightarrow\left(a-b\right)^2\ge0\) (luôn đúng)
Vậy \(\left(a+b\right)^2\le2\left(a^2+b^2\right)\Rightarrow a+b\le\sqrt{2\left(a^2+b^2\right)}\)
Áp dụng:
\(A\le\sqrt{2\left(9-x+x-1\right)}=\sqrt{2.8}=4\)
\(A_{max}=4\)
\(\frac{1}{x^2+3}+\frac{1}{x^2+9x+18}+\frac{1}{x^2+15x+54}=\frac{1}{2}\left(27-\frac{1}{x+9}\right)\)
\(\Leftrightarrow\frac{3}{x\left(x+3\right)}+\frac{3}{\left(x+3\right)\left(x+6\right)}+\frac{3}{\left(x+6\right)\left(x+9\right)}=27-\frac{1}{x+9}\)
Mà
\(\frac{3}{x\left(x+3\right)}+\frac{3}{\left(x+3\right)\left(x+6\right)}+\frac{3}{\left(x+6\right)\left(x+9\right)}\)
\(=\frac{1}{x}-\frac{1}{x+3}+\frac{1}{x+3}-\frac{1}{x+6}+\frac{1}{x+6}-\frac{1}{x+9}\)
\(=\frac{1}{x}-\frac{1}{x+9}\)
\(\Rightarrow\frac{1}{x}=27\Rightarrow x=\frac{1}{27}\)
(627 - 138) : (x : 2) = 163
489 : (x : 2) = 163
x : 2 = 489 : 163
x : 2 = 3
x = 3 x 2
x = 6
k mình nha
~Chúc các bạn học gioiỉ~
( 627 - 138 ) : ( X : 2 ) = 163
X : 2 = ( 627 - 138 ) : 163
X : 2 = 489 : 163
X : 2 = 3
X = 3 x 2
X = 6
8.725 x 3.267 + 3.267 x 1.725 - 12.627
= 3.267 x ( 8.725 + 1.725 ) - 12.627
= 3.267 x 10.45 - 12.627
= 34.14015 - 12.627
= 21.51315
8,725 x 3,267 + 3,267 x 1,725 - 12,627 = (8,725 + 1,725) x 3,267 - 12,627
= 10,45 x 3,267 - 12,627
= 34,14015 - 12,627
= 21,51315
\(\frac{x}{27}-\frac{2}{9}=\frac{6}{18}\)
\(\frac{x}{27}=\frac{6}{18}+\frac{2}{9}\)
\(\frac{x}{27}=\frac{6}{18}+\frac{4}{18}\)
\(\frac{x}{27}=\frac{5}{9}\)
\(\Rightarrow\text{ }9x=27\cdot5\)
\(9x=135\)
\(x=135\text{ : }9\)
\(x=15\)