1/3.x + 2/5.(x+1)=0
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\(3^{12}=3^{3.4}=\left(3^3\right)^4=27^4\)
\(5^8=5^{2.4}=\left(5^2\right)^4=25^4\)
Do \(27^4>25^4\) nên \(3^{12}>5^8\)
Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{x-1}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{4}=\dfrac{x+y+z-1-2-3}{2+3+4}=\dfrac{-34-6}{9}=\dfrac{-40}{9}\)
=>\(\left\{{}\begin{matrix}x-1=-\dfrac{40}{9}\cdot2=-\dfrac{80}{9}\\y-2=-\dfrac{40}{9}\cdot3=-\dfrac{120}{9}\\z-3=-\dfrac{40}{9}\cdot4=-\dfrac{160}{9}\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x=-\dfrac{80}{9}+1=-\dfrac{71}{9}\\y=-\dfrac{120}{9}+2=-\dfrac{120}{9}+\dfrac{18}{9}=-\dfrac{102}{9}\\z=-\dfrac{160}{9}+3=-\dfrac{160}{9}+\dfrac{27}{9}=-\dfrac{133}{9}\end{matrix}\right.\)
1 My mother is fond of going jogging in the morning
2 My sister finds it difficult to lift weights
3 We collected plastic bottles and sent them to the factory
1 My mother is fond of going jogging in the morning
2 My sister finds it difficult to lift weights
3 We collected plastic bottles and sent them to the factory
1 Reuse means using something again instead of throwing it away
2 Did your school organise a donation drive last winter?
1. You should not eat a large meal before bedtime.
2. It takes him two hours a day to read a book about adventure.
3. Would you like to buy tickets for the concert?
1 You shouldn't eat large meals right before bedtime
2 It takes him two hours a day to read books about adventure
3 Would you like to buy tickets for the concert?
`1/3 . x + 2/5 . (x+1) = 0`
`=> 1/3 . x + 2/5 x + 2/5 = 0`
`=> (1/3 + 2/5) . x + 2/5 = 0`
`=> 11/15 . x = -2/5`
`=> x = -2/5 : 11/5`
`=> x = -6/11`
Vậy ...
\(\dfrac{1}{3}x+\dfrac{2}{5}\left(x+1\right)=0\)
\(\dfrac{1}{3}x+\dfrac{2}{5}x+\dfrac{2}{5}=0\)
\(\left(\dfrac{1}{3}+\dfrac{2}{5}\right)x=-\dfrac{2}{5}\)
\(\dfrac{11}{15}x=-\dfrac{2}{5}\)
\(x=-\dfrac{2}{5}:\dfrac{11}{15}\)
\(x=-\dfrac{6}{11}\)