6.|2-X| bằng |-15 cộng 3|
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x : 3 x 4 + 5 - 6 = 15
x : 3 x 4 = 15 + 6 - 5
x : 3 x 4 = 16
x : 3 = 16 : 4
x : 3 = 4
x = 4 x 3
x = 12
Đề bài:
Tìm \(x\)biết: \(x\div3\times4+5-6=15\)
\(x\div3\times4+5-6=16\)
\(x\div3\times4+5=16+6\)
\(x\div3\times4+5=22\)
\(x\div3\times4=22-5\)
\(x\div3\times4=17\)
\(x\div3=17\div4\)
\(x\div3=4,25\)
\(x=4,25\times3\)
\(x=12,75\)
Không biết đúng không nữa? :) ^.^
6 2/7 + 7 3/5 + 8 6/9 + 9 1/4 + 2/5 + 5/7 + 1/3 x 3/4 + 1967
= 44/7 + 38/5 + 78/9 + 37/4 + 2/5 + 5/7 + 1/3 + 1967
= ( 44/7 + 5/7 ) + ( 38/5 + 2/5 ) + ( 26/3 + 1/3 ) + ( 37/4 + 3/4 ) +1967
= 7 + 8 + 9 + 10 + 1967
= 15 + 9 + 10 + 1967
= 24 + 10 + 1967
= 34 + 1967
= 2001
ta có : x+3/5+x+4/5=x+5/3+x+6/2
=> (x+x)+(3/5+4/4)=(x+x)+(5/3+6/2)
=> 2x+8/5=2x+14/3 ( vô lí )
Ta có: \(x+\frac{3}{5}+x+\frac{4}{4}=x+\frac{5}{3}+x+\frac{6}{2}\)
=> \(x+\frac{3}{5}+x+1=x+\frac{5}{3}+x+3\)
=> \(x+1+x+3=x+\frac{5}{3}-x-\frac{3}{5}\)
=> \(2x+4=\frac{25-9}{15}\)
=> \(2x+4=\frac{16}{15}\)
=> \(2x+4=1+\frac{1}{15}\)
=> \(2x+4-1=\frac{1}{15}\)
=> \(2x+3=\frac{1}{15}\)
=> \(2x=\frac{1}{15}-3\)
=> \(2x=\frac{1-45}{15}\)
=> \(2x=-\frac{44}{15}\)
=> \(x=\frac{\left(-\frac{44}{15}\right)}{2}\)
=> \(x=-\frac{44}{15}.\frac{1}{2}\)
=> \(x=-\frac{22}{15}\)
Ta có : \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\left(x+1\right)\div2}=\frac{2009}{2011}\)
Đặt tổng vế trái là A
Ta có : \(A=\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{x\left(x+1\right)\div2}\)
\(\frac{1}{2}A=\frac{1}{2}\left(\frac{1}{3}+\frac{1}{6}+...+\frac{1}{x\left(x+1\right)\div2}\right)\)
\(\frac{1}{2}A=\frac{1}{6}+\frac{1}{12}+...+\frac{1}{x\left(x+1\right)}\)
\(\frac{1}{2}A=\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{x\left(x+1\right)}\)
\(\frac{1}{2}A=\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{3}-\frac{1}{4}\right)+...+\left(\frac{1}{x}-\frac{1}{x+1}\right)\)
\(\frac{1}{2}A=\frac{1}{2}-\frac{1}{x+1}\)
\(A=\left(\frac{1}{2}+\frac{1}{x+1}\right):\frac{1}{2}\)
\(A=1+\frac{1}{\left(x+1\right)\div2}\)
\(\Rightarrow1+\frac{1}{\left(x+1\right)\div2}=\frac{2009}{2011}\)
\(\Rightarrow\frac{1}{\left(x+1\right)\div2}=\frac{2009}{2011}-1=\frac{2009}{2011}-\frac{2011}{2011}=-\frac{2}{2011}\)
\(\Rightarrow-\frac{2}{-\left(x+1\right)}=-\frac{2}{2011}\)
\(\Rightarrow-\left(x+1\right)=2011\)
\(\Rightarrow x+1=-2011\)
\(\Rightarrow x=-2011-1=-2012\)
6.|2-x|= |-15+3|
=> 6.|2 - x| = | - 12 |
=> 6. |2 - x| = 12
=> |2 - x| = 12 : 6
=> |2 - x| = 2
=>\(\orbr{\begin{cases}2-x=2\\2-x=-2\end{cases}}\)=>\(\orbr{\begin{cases}x=2-2\\x=2-\left(-2\right)\end{cases}}\)=>\(\orbr{\begin{cases}x=0\\x=4\end{cases}}\)
| 2 - x | = | - 15 + 3 |
=> | 2 - x | = | - 12 |
=> | 2 - x | = 12
=> 2 - x = 12 hoặc 2 - x = - 12
TH1 : 2 - x = 12
=> x = 14
TH2 : 2 - x = - 12
=> x = - 10
Vậy....