44/225=1/5-x+(1/x+1)
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1 . tìm giá trị x
\(\left(x+1\right)+\left(x+4\right)+....+\left(x+28\right)=115.\)
\(\Rightarrow\left(x+x+x+....x\right)+\left(1+4+..+28\right)=115\)
\(\Rightarrow10x+\left(28+1\right).10:2=115\)
\(\Rightarrow10x+145=115\)
\(\Rightarrow10x=115-145=-30\)
\(\Rightarrow x=-30:10=-3\)
Bai 1
so so hang la: [(28+x)-(x+1)]/3+1= 10 so hang
tong =[(x+1)+(x+28)]*10/2=(2x+29)*10/2=115
(2x+29)*5=115
2x+29=115/5=23
2x=23-29=-6
x=-3
a)
(1/3-1/5)x1/4 = 1/3x1/4-1/5x1/4=1/12-1/20=1/30
(1/3-1/5)x1/4 = 2/15x1/4=1/30
b)
2/5 x 3/7 + 2/5 x 4/7= 6/35 + 8/35 = 14/35 = 2/5
2/5 x 3/7 + 2/5 x 4/7= (3/7+4/7) x 2/5 = 1 x 2/5 = 2/5
a: C1: (1/3-1/5)*1/4
=2/15*1/4=2/60=1/30
C2: (1/3-1/5)*1/4
=1/3*1/4-1/5*1/4
=1/12-1/20=1/30
b: C1: 2/5*3/7+2/5*4/7
=6/35+8/35=14/35=2/5
C2: 2/5*3/7+2/5*4/7
=2/5(3/7+4/7)
=2/5*1=2/5
\(\frac{x-2}{27}+\frac{x-3}{26}+\frac{x-4}{25}+\frac{x-5}{24}+\frac{x-44}{5}=1\)
\(\Leftrightarrow\left(\frac{x-2}{27}-1\right)+\left(\frac{x-3}{26}-1\right)+\left(\frac{x-4}{25}-1\right)+\left(\frac{x-5}{24}-1\right)\)\(+\left(\frac{x-44}{5}+3\right)=1-1\)
\(\Leftrightarrow\frac{x-29}{27}+\frac{x-29}{26}+\frac{x-29}{25}+\frac{x-29}{24}\)\(+\frac{x-29}{5}=0\)
\(\Leftrightarrow\left(x-29\right)\left(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}+\frac{1}{5}\right)=0\)
Mà \(\frac{1}{27}+\frac{1}{26}+\frac{1}{25}+\frac{1}{24}+\frac{1}{5}\ne0\)
=> x - 29 = 0
=> x = 29.
vì 13 chia 5 dư 3 dể m chia 5 dư 4 thì x chia 5 dư 1
để m chia 5 dử 3 thì x chia hết cho 3
\(\frac{1}{3}.\frac{1}{x}+\left(\frac{1}{x}+1\right).\frac{2}{5}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\left(\frac{1}{x}+\frac{x}{x}\right).\frac{2}{5}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\frac{1+x}{x}.\frac{2}{5}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\frac{2\left(1+x\right)}{5x}=\frac{9}{5}\)
\(\Rightarrow\frac{1}{3x}+\frac{2+2x}{5x}=\frac{9}{5}\)
\(\frac{5}{15x}+\frac{6+6x}{15x}=\frac{9}{5}\)
\(\Rightarrow\frac{5+6+6x}{15x}=\frac{3.9x}{15x}\)
\(\Rightarrow\frac{11+6x}{15x}=\frac{27x}{15x}\)
\(\Rightarrow11+6x=27x\)
\(\Rightarrow21x=11\)
\(\Rightarrow x=\frac{11}{21}\)
Vậy \(x=\frac{11}{21}\)
_Hok tốt_