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\(\frac{1}{2.4}+\frac{1}{4.6}+...+\frac{1}{\left(2x-2\right).2x}=\frac{1}{8}\)
\(\Rightarrow\frac{1}{2}\left(\frac{2}{2.4}+\frac{2}{4.6}+...+\frac{2}{\left(2x-2\right).2x}\right)=\frac{1}{8}\)
\(\Rightarrow\frac{1}{2}\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+...+\frac{1}{2x-2}-\frac{1}{2x}\right)=\frac{1}{8}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{2x}=\frac{1}{4}\)
\(\Rightarrow\frac{1}{2x}=\frac{1}{4}\Rightarrow2x=4\Rightarrow x=2\)
`1/2x +( 2/4+3/6)= 4/5`
`=> 1/2x +( 12/24 + 12/24)=4/5`
`=> 1/2 x+ 24/24=4/5`
`=> 1/2 x+1=4/5`
`=>1/2x=4/5-1`
`=>1/2x= 4/5-5/5`
`=>1/2x= -1/5`
`=>x=-1/5 : 1/2`
`=>x=-1/5 xx 2`
`=>x=-2/5`
`--------`
`3/8 +x=2/5`
`=>x=2/5-3/8`
`=>x= 16/40 - 15/40`
`=>x=1/40`
`@ yl`
2 + 4 + 6 + 8 + ... + 2x = 210
2( 1 + 2 + 3 + 4 + ... + x ) = 210
1 + 2 + 3 + 4 + ... + x = 210 : 2
1 + 2 + 3 + 4 + ... + x = 105
x . ( x + 1 ) : 2 = 105
x . ( x + 1 ) = 105 . 2
x . ( x + 1 ) = 210
Mà 14 . 15 = 210
=> x = 14
Ta có : 2 + 4 + 6 + 8 +...+ 2.x = 2450
=> 2. ( 1 + 2 + 3 + 4 + ... + x ) = 2450
=> 1 + 2 + 3 + 4 + ... + x = 1225
=> x . ( x + 1 ) : 2 = 1225
=> x . ( x + 1 ) = 2450 = 49 . 50
=> x = 49
1. 41/7 - x = 25/9
=> x = 41/7 - 25/9
=> x = 194/63
2. 3x = 12,8
=> x = 12,8 : 3
=> x = 64/15
3. 41/2 x = 5
=> x = 5: 41/2
=> x = 10/41
4. 3/4 x = 1
=> x = 1: 3/4
=> x = 3/4
5. 4/5 : x = 3
=> x = 4/5 : 3
=> x = 4/15
6. 12/x = 4
=> x = 12/4
=> x = 3
7. 4/7 : x = 4/7
=> x = 4/7 : 4/7
=> x = 1
8. 2x - 3/4 = 7/8
=> 2x = 7/8 + 3/4
=> 2x = 13/8
=> x = 13/8 : 2
=> x =13/16
Ruby Chan :))
1, \(4\frac{1}{7}-x=2\frac{5}{9}\)
\(\frac{4\times7+1}{7}-x=\frac{2\times9+5}{9}\)
\(\frac{29}{7}-x=\frac{23}{9}\)
\(x=\frac{29}{7}-\frac{23}{9}\)
\(x=\frac{261}{63}-\frac{161}{63}\)
\(x=\frac{100}{63}\)
2, \(3\times x=12,18\)
\(x=12,18\div3\)
\(x=4,06\)
3, \(4\frac{1}{2}\times x=5\)
\(\frac{4\times2+1}{2}\times x=5\)
\(\frac{9}{2}\times x=5\)
\(x=5\div\frac{9}{2}\)
\(x=\frac{5\times2}{9}=\frac{10}{9}\)
4, \(\frac{3}{4}\times x=1\)
\(x=1\div\frac{3}{4}\)
\(x=\frac{1\times4}{3}=\frac{4}{3}\)
5, \(\frac{4}{5}\div x=3\)
\(x=\frac{4}{5}\div3\)
\(x=\frac{4}{5\times3}=\frac{4}{15}\)
6,\(\frac{12}{x}=4\)
\(x=12\div4\)
\(x=3\)
7, \(\frac{4}{7}\div x=\frac{4}{7}\)
\(x=\frac{4}{7}\div\frac{4}{7}\)
\(x=1\)
8, \(2x-\frac{3}{4}=\frac{7}{8}\)
\(2x=\frac{7}{8}+\frac{3}{4}\)
\(2x=\frac{7}{8}+\frac{6}{8}\)
\(2x=\frac{13}{8}\)
\(x=\frac{13}{8}\div2\)
\(x=\frac{13}{8\times2}=\frac{13}{16}\)
\(A=\left|2x+8\right|+6\ge6\Rightarrow Min_A=6\)
\(B=\left|2y+4\right|+7+\left|4x+3\right|\ge7\Rightarrow Min_B=7\)
\(C=x^2+2x+5=\left(x+1\right)^2+4\ge4\Rightarrow Min_C=4\)