Tìm x:
a) 5.6-x+4.5=2.3
b) 1.7-4.6+x=0.6
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5.6 x 2 + 2.8 x 8 + 11.2 x 2- 48.5
= 2.8 x 2 x 2 + 2.8 x 8 + 2.8 x 4 x2 - 48.5
= 2.8 x 4 + 2.8 x 8 + 2.8 x 8 - 48.5
= 2.8 x (4+8+8) - 48.5
= 2.8 x 20 - 48.5
= 560 - 48.5
= 511.5
|5.6 - \(x\)| = 4.6
|30 - \(x\)| = 24
\(x< 30\) ⇒ 30 - \(x\) = 24 ⇒ \(x\) = 30 - 24 = -6
\(x>30\) ⇒ -(30 - \(x\)) = 24 ⇒ -30 + \(x\) = 24 ⇒ \(x\) = 24 + 30 = 54
Vậy \(x\) \(\in\) { -6; 54}
`@` `\text {Ans}`
`\downarrow`
\(\left|5\cdot6-x\right|=4\cdot6\)
`\Rightarrow`\(\left|5\cdot6-x\right|=24\)
`\Rightarrow`\(\left[{}\begin{matrix}5\cdot6-x=24\\5\cdot6-x=-24\end{matrix}\right.\)
`\Rightarrow`\(\left[{}\begin{matrix}30-x=24\\30-x=-24\end{matrix}\right.\)
`\Rightarrow`\(\left[{}\begin{matrix}x=30-24\\x=30-\left(-24\right)\end{matrix}\right.\)
`\Rightarrow`\(\left[{}\begin{matrix}x=6\\x=54\end{matrix}\right.\)
Vậy, `x={6; 54}.`
\(\frac{1}{3.4}+\frac{1}{3.4}+...+\frac{1}{x\left(x+1\right)}=\frac{1}{3}-\frac{1}{x+1}\)
\(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+...+\frac{1}{x\left(x+1\right)}\)
\(=\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+.....+\frac{1}{x}-\frac{1}{x+1}\)
\(=\frac{1}{3}-\frac{1}{x+1}\)
(1/3-1/4+1/4-1/5+1/5-.......+1/x.(x+1)=3/10
1/3-1/x+1=3/10
tự làm...
1/3.4+1/4.5+1/5.6+1/6.7+....+1/x(x+1)=3/10
<=> \(\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{\left(x+1\right)x}=\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
<=> \(\frac{1}{x+1}=\frac{1}{3}-\frac{3}{10}=\frac{1}{30}\)=> x+1=30=>x=29
\(\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+...+\frac{1}{x\left(x+1\right)}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{3}-\frac{1}{x+1}=\frac{3}{10}\)
\(\frac{1}{x+1}=\frac{1}{3}-\frac{3}{10}\)
\(\frac{1}{x+1}=\frac{1}{30}\)
\(\Rightarrow x+1=30\)
\(x=30-1=29\)
\(A=\left|3,7-x\right|+2,5\ge2,5\)
\(MinA=2,5\Leftrightarrow3,7-x=0\Rightarrow x=3,7\)
\(B=\left|x+1,5\right|+4,5\ge4,5\)
\(MinB=4,5\Leftrightarrow x+1,5=0\Rightarrow x=-1,5\)
.3-2/2.3 + 4-3/3.4 + 5-4/4.5 + 6-5/5.6 +...+ 20-19/19.20=18/x
1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 + 1/5 - 1/6 +...+ 1/19 - 1/20=18/x
1/2 - 1/20=18/x
10/20 - 1/20=18/x
9/20=18/x
18/40=18/x
=>x=40
Vậy x=40
3.(1/4.5+1/5.6+...+1/9.10).x=9/2
3.(1/4-1/5+1/5-1/6+...+1/9-1/10).x=9/2
3.(1/4-1/10).x=9/2
3.3/20.x=9/2
9/20.x=9/2
x=9/2:9/20
x=10
a -x=2.3 -5.6 -4.5
-x = -7.8
x=7.8
b x = 0.6 -1.7 +4.6
x = 3.5