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365-(120+80-365-350)
=365-120-80+365+350 =(365+365)-(120+80)+350 =730-200+350 =530+350 =880
\(\frac{17}{2}-\left|2x-\frac{5}{2}\right|=-\frac{7}{6}\)
\(\left|2x-\frac{5}{2}\right|=\frac{17}{2}-\frac{-7}{6}\)
\(\left|2x-\frac{5}{2}\right|=\frac{51}{6}+\frac{7}{6}\)
\(\left|2x-\frac{5}{2}\right|=\frac{29}{3}\)
\(2x-\frac{5}{2}=\frac{29}{3}\)hoặc \(2x-\frac{5}{2}=\frac{-29}{3}\)
Trường hợp 1:
\(2x-\frac{5}{2}=\frac{29}{3}\)
\(2x=\frac{29}{3}+\frac{5}{2}\)
\(2x=\frac{73}{6}\)
\(x=\frac{73}{6}:2\)
\(x=\frac{73}{12}\)
Trường hợp 2:
\(2x-\frac{5}{2}=\frac{-29}{3}\)
\(2x=\frac{-29}{3}+\frac{5}{2}\)
\(2x=\frac{-43}{6}\)
\(x=\frac{-43}{6}:2\)
\(x=\frac{-43}{12}\)
Vậy \(x=\frac{73}{12}\)hoặc \(x=\frac{-43}{12}\)
b)\(\left(x-8\right)\left(x-2\right)=0\Leftrightarrow\orbr{\begin{cases}x-8=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=8\\x=2\end{cases}}\)
c) \(\left(x+1\right)+\left(x+2\right)+...+\left(x+10\right)=9x+200\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+...+10\right)=9x+200\) (10 số hạng x)
\(\Leftrightarrow10x+55=9x+200\Leftrightarrow x+55=200\)
\(\Leftrightarrow x=145\)
C1 ( 9 : 9 ) x ( 9 : 9 ) + 9
C2 ( 9 x 9 ) : ( 9 x 9 ) + 9
\(\dfrac{2.3.5.\left(-7\right).12}{3.\left(-5\right).7.14}=\dfrac{2.3.5.\left(-7\right).12}{3.5.\left(-7\right).2.7}=\dfrac{12}{7}\)
\(\left(3\cdot x-7\right)^5=0\)
\(\Leftrightarrow3\cdot x-7=0\)
\(3\cdot x=7\)
\(x=\frac{7}{3}\)
\(\frac{7^2.3}{2.3.5^2}\)
\(=\frac{7^2.1}{2.1.5^2}\)
\(=\frac{7^2}{2.5^2}\)
\(=\frac{49}{2.25}\)
\(=\frac{49}{50}\)
\(\frac{7^2.3}{2.3.5^2}=\frac{7^2.3:3}{2.5^2.3:3}=\frac{7^2}{2.5^2}=\frac{49}{50}\)
Tk nha