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Đặt \(A=\frac{1.2+2.4+3.6+4.8+5.10}{4+6.8+9.12+12.16+15.20}\)
\(\Rightarrow A=\frac{1.\left(1+2\right)+2.\left(1+2\right)+3.\left(1+2\right)+4.\left(1+2\right)+5.\left(1+2\right)}{4+2.\left(3+4\right)+3.\left(3+4\right)+4.\left(3+4\right)+5.\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+2+3+4+5\right).\left(1+2\right)}{4+\left(2+3+4+5\right).\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+5\right).5:2.\left(1+2\right)}{4+\left(2+5\right).4:2.\left(3+4\right)}\)
\(\Rightarrow A=\frac{6.5:2.3}{4+7.4:2.7}=\frac{45}{4+98}=\frac{45}{102}=\frac{15}{34}\)
Vậy \(A=\frac{15}{34}\)
Chúc bn học tốt
22x-1 + 6 . 28 = 14.28
=> 22x-1 + 6 . 28 = 7.2.28
=> 22x-1 + 6 . 28 = 7 . 29
=> 22x-1 + 6 = 7 . 29 : 28
=> 22x-1 + 6 = 7 . 2
=> 22x-1 + 6 = 14
=> 22x-1 = 8
=> 22x-1 = 23
=> 2x - 1 = 3
=> 2x = 4
=> x = 2
\(2.x=\frac{1+2+3+...+9}{1-2+3-4+5-6+7-8+9}+\frac{25.150-60.5+20.75}{1+2+3+...+99}\)
\(2.x=\frac{\left(9+1\right).9:2}{\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+\left(7-8\right)+9}+\frac{2.3.5^2.\left(5^2-2+2.5\right)}{\left(1+99\right).99:2}\)
\(2.x=\frac{45}{\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)+9}+\frac{2.3.5^2.33}{100.99.\frac{1}{2}}\)
\(2x=\frac{45}{5}+\frac{50.99}{50.2.99.\frac{1}{2}}=9+\frac{1}{2.\frac{1}{2}}=9+1=10\)
=> 2x = 10
x = 5
a) \(2.\left(x+\frac{2}{5}\right)+1\frac{1}{4}=\frac{11}{20}\)
\(2.\left(x+\frac{2}{5}\right)+\frac{5}{4}=\frac{11}{20}\)
\(2.\left(x+\frac{2}{5}\right)=\frac{-7}{10}\)
\(x+\frac{2}{5}=\frac{-7}{20}\)
\(x=\frac{-13}{20}\)
Vậy \(x=\frac{-13}{20}\)
b)\(x-1\frac{1}{8}-\frac{2}{3}x-\frac{5}{6}x=75\%\)
\(\left(x-\frac{2}{3}x-\frac{5}{6}x\right)-\frac{9}{8}=\frac{3}{4}\)
\(\frac{-1}{2}x-\frac{9}{8}=\frac{3}{4}\)
\(\frac{-1}{2}x=\frac{15}{8}\)
\(x=\frac{-15}{4}\)
Vậy \(x=\frac{-15}{4}\)
a, |x+3| = 0
x + 3 =0
x = -3
b, |x+1|= 10
TH1: x + 1 = 10
x = 9
Th2: x + 1 = -10
x = -11
c, | x-5 | = (-5) + 8
| x - 5 | = 3
Th1: x-5 = 3
x = 8
Th2: x - 5 = -3
x = 2
hok tốt!!!
a, |x+3| = 0
=> x+3=0
=> x=-3
b, |x+1|= 10
=> \(\orbr{\begin{cases}x+1=10\\x+1=-10\end{cases}}\)
=>\(\orbr{\begin{cases}x=9\\x=-11\end{cases}}\)
c, | x-5 | = (-5) + 8
=> | x-5 | =-13
=> x-5=13
=> x=18
nhé
\(\frac{x}{8}+\frac{1}{5}=\frac{3}{20}-1\)
\(\frac{x}{8}+\frac{1}{5}=\frac{3}{20}-\frac{20}{20}\)
\(\frac{x}{8}+\frac{1}{5}=\frac{-17}{20}\)
\(\frac{x}{8}\)\(=\)\(\frac{-17}{20}-\frac{1}{5}\)
\(\frac{x}{8}\)\(=\)\(\frac{-17}{20}-\frac{4}{20}\)
\(\frac{x}{8}\)\(=\)\(\frac{-21}{20}\)
\(x\)\(=\)\(\frac{-21}{20}\times8\)
\(x\)\(=\)\(\frac{-168}{20}\)\(=\frac{-41}{5}\)
x/8 + 1/5 = 3/20 - 1
x/8 + 1/5 = -17/20
x/8 = -17/20 - 1/5
x/8 = - 21/20
x = -21/20 . 8
x =-42/5