giai bang hai cach
( 1/3 + 1/5 ) x 1/2
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`( 5/6 -1/2 ) : 2/3`
`= ( 5/6 - 3/6) xx 3/2`
`= 1/3 xx 3/2`
`= 3/6`
`=1/2`
`@ `
`(5/6-1/2) : 2/3`
`= 5/6 : 2/3 - 1/2 : 2/3`
`= 5/6 xx 3/2 - 1/2 xx 3/2`
`= 15/12 - 3/4`
`= 5/4 -3/4`
`= 2/4`
`=1/2`
`------`
`(3/4 +1/2) : 3/5`
`= ( 3/4 + 2/4) xx 5/3`
`= 5/4 xx 5/3`
`= 25/12`
`@ `
`(3/4 + 1/2) : 3/5`
`= 3/4 : 3/5 + 1/2 : 3/5`
`= 3/4 xx 5/3 + 1/2 xx 5/3`
`= 5/4 + 5/6`
`=25/12`
`(3/4 +1/2): 3/4`
`=(3/4 +2/4) xx 4/3`
`= 5/4 xx 4/3`
`=20/12`
`= 5/3`
`-----`
`(3/4 +1/2) : 3/4`
`= 3/4 : 3/4 + 1/2 : 3/4`
`= 1 + 1/2 xx 4/3`
`=1+ 2/3`
`= 3/3+2/3`
`=5/3`
C1= 8/15x1/4= 2/15
C2= 1/3 x1/4+ 1/5x1/4
= 1/12+1/20
=2/15
cách 1 : [ 1/3 + 1/5 ] x 1/4 = 8/15 x 1/4
= 8/60
cách 2 : [ 1/3 + 1/5 ] x 1/4 = 1/3 x 1/4 + 1/5 x 1/4
=1/12 + 1/20
= 8/60
nếu ai thấy đúng cho minh k nhé
\(\left(x+1\right)\left(x+3\right)\left(x+5\right)\left(x+7\right)+15=0\)
\(\Leftrightarrow\left(x^2+8x+7\right)\left(x^2+8x+15\right)+15=0\)
Đặt \(x^2+8x+11=y\Rightarrow x^2+8x+7=y-4;x^2+8x+15=y+4\)
Khi đó:
\(pt\Leftrightarrow\left(y-4\right)\left(y+4\right)+15=0\)
\(\Leftrightarrow y^2-1=0\)
\(\Leftrightarrow y=1;y=-1\)
Nếu \(y=1\Rightarrow x^2+8x+11=1\)
\(\Rightarrow x^2+8x+10=0\)
\(\Rightarrow-\left(6-x^2-8x-16\right)=0\)
\(\Rightarrow-\left[6-\left(x+4\right)^2\right]=0\)
\(\Rightarrow-\left(\sqrt{6}-x-4\right)\left(\sqrt{6}+x+4\right)=0\)
\(\Rightarrow x=-4-\sqrt{6};x=\sqrt{6}-4\)
Nếu \(y=-1\),ta có:
\(x^2+8x+11=-1\)
\(\Rightarrow x^2+8x+12=0\)
\(\Rightarrow x^2+2x+6x+12=0\)
\(\Rightarrow x\left(x+2\right)+6\left(x+2\right)=0\)
\(\Rightarrow\left(x+2\right)\left(x+6\right)=0\)
\(\Rightarrow x=-2;x=-6\)
Vậy \(x=-2;x=-6;x=-4-\sqrt{6};x=\sqrt{6}-4\)
\(\frac{3}{22}\times\frac{3}{11}\times22\)
1.\(=\frac{3\times3\times22}{22\times11\times1}\)
\(=\frac{3\times3}{11\times1}\)
\(=\frac{9}{11}\)
2. \(=\frac{9}{242}\times22\)
\(=\frac{198}{242}\)
\(=\frac{9\times2\times11}{2\times11\times11}\)
\(=\frac{9}{11}\)
\(\left(\frac{1}{2}+\frac{1}{3}\right)\times\frac{2}{5}\)
1.\(=\frac{5}{6}\times\frac{2}{5}\)
\(=\frac{5\times2}{3\times2\times5}\)
\(=\frac{1}{3}\)
2.\(\)\(=\frac{1}{2}\times\frac{2}{5}+\frac{1}{3}\times\frac{2}{5}\)
\(=\frac{1}{5}+\frac{2}{15}\)
\(=\frac{3}{15}+\frac{2}{15}\)
\(=\frac{5}{15}=\frac{1}{3}\)
Have a good day
Áp dụng công thức dãy số cách đều, ta có tổng của dãy trên là:
(1 + 99) x 99 : 2 = 4950
Đáp số: 4950
*Dãy trên có 99 số hạng.
(1/3+1/5)*1/2
= 8/15*1/2
= 4/15
Cách 1:\(\left(\frac{1}{3}+\frac{1}{5}\right)x\frac{1}{2}=\frac{8}{15}x\frac{1}{2}=\frac{4}{15}\)
Cách 2:\(\left(\frac{1}{3}+\frac{1}{5}\right)x\frac{1}{2}=\frac{1}{3}x\frac{1}{2}+\frac{1}{5}x\frac{1}{2}=\frac{1}{6}+\frac{1}{10}=\frac{4}{15}\)