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\(\dfrac{2}{3}x-25\%=\dfrac{7}{4}\)

=>\(\dfrac{2}{3}x=\dfrac{7}{4}+\dfrac{1}{4}=\dfrac{8}{4}=2\)

=>\(x=2:\dfrac{2}{3}=3\)

25 tháng 4

2/3 . x - 25% = 7/4

2/3 . x - 1/4 = 7/4

2/3 . x          = 7/4 + 1/4

2/3 . x           = 2

        x           = 2 : 2/3

        x           = 3

Vậy x = 3.

25 tháng 4

x = 400 000

50% của x là 200000

=>x=200000:50%=400000

2/3 của x là -150

=>\(x=-150:\dfrac{2}{3}=-150\cdot\dfrac{3}{2}=-225\)

a: ĐKXĐ: x<>-3

\(A=\dfrac{4-5x}{x+3}=\dfrac{-5x-15+19}{x+3}=--5+\dfrac{19}{x+3}\)

Để A là số nguyên mà x nhỏ nhất thì x+3=-19

=>x=-22

 

25 tháng 4

Còn câu b ạ

Mai mik thi r ạ

Ai đó giúp mik vs nnha

bài 1:

a: \(2n+3⋮n-1\)

=>\(2n-2+5⋮n-1\)

=>\(5⋮n-1\)

=>\(n-1\in\left\{1;-1;5;-5\right\}\)

=>\(n\in\left\{2;0;6;-4\right\}\)

b: \(n^2-2n+4⋮n+1\)

=>\(n^2+n-3n-3+7⋮n+1\)

=>\(7⋮n+1\)

=>\(n+1\in\left\{1;-1;7;-7\right\}\)

=>\(n\in\left\{0;-2;6;-8\right\}\)

c: \(2n^2+n+3⋮2n+1\)

=>\(n\left(2n+1\right)+3⋮2n+1\)

=>\(3⋮2n+1\)

=>\(2n+1\in\left\{1;-1;3;-3\right\}\)

=>\(n\in\left\{0;-1;1;-2\right\}\)
d: \(2n^2-n+2⋮n+2\)

=>\(2n^2+4n-5n-10+12⋮n+2\)

=>\(12⋮n+2\)

=>\(n+2\in\left\{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12\right\}\)

=>\(n\in\left\{-1;-3;0;-4;1;-5;2;-6;4;-8;10;-14\right\}\)

5 tháng 5

a)(n2-3n+1)⋮(n-2)
Vì (n-2)⋮(n-2)
⇒n.(n-2)⋮(n-2)
⇒[(n2-3n+1)-n.(n-2)]⋮(n-2)
⇒[(n2-3n+1)-(n2-2n)]⋮(n-2)
⇒[n2-3n+1-n2+2n0 ]⋮(n-2)
⇒(-n+1):(n-2)
⇒-(n-1)⋮(n-2)
⇒(n-2+1)⋮(n-2)
 Vì (n-2)⋮(n-2)
⇒1⋮(n-2)
 Vì n nguyên
⇒(n-2)ϵƯ(1)={-1;1}Ư

1: \(\dfrac{15}{7}\cdot\dfrac{-3}{21}=\dfrac{15}{21}\cdot\dfrac{-3}{7}=\dfrac{-3}{7}\cdot\dfrac{5}{7}=-\dfrac{15}{49}\)

2: \(\dfrac{34}{-11}\cdot\left(\dfrac{1}{3}-\dfrac{5}{6}\right)^2+\dfrac{10}{11}\cdot\left(0,125\right)\)

\(=\dfrac{-34}{11}\left(\dfrac{2}{6}-\dfrac{5}{6}\right)^2+\dfrac{10}{11}\cdot\dfrac{1}{8}\)

\(=\dfrac{-34}{11}\cdot\dfrac{1}{4}+\dfrac{10}{88}\)

\(=\dfrac{-34}{44}+\dfrac{10}{88}=\dfrac{-34}{44}+\dfrac{5}{44}=\dfrac{-29}{44}\)

3: \(\left(\dfrac{3}{5}-\dfrac{1}{15}\right)\cdot\dfrac{-8}{7}-\dfrac{1}{3}\left(\dfrac{1}{2}-\dfrac{1}{4}\right)^2\)

\(=\left(\dfrac{9}{15}-\dfrac{1}{15}\right)\cdot\dfrac{-8}{7}-\dfrac{1}{3}\left(\dfrac{1}{4}\right)^2\)

\(=\dfrac{8}{15}\cdot\dfrac{-8}{7}-\dfrac{1}{3}\cdot\dfrac{1}{16}\)

\(=-\dfrac{64}{105}-\dfrac{1}{48}=-\dfrac{353}{560}\)

\(-\dfrac{3}{11}:\dfrac{2}{9}+\dfrac{-3}{11}\cdot\dfrac{7}{3}\)

\(=-\dfrac{3}{11}\cdot\dfrac{9}{2}+\dfrac{-3}{11}\cdot\dfrac{7}{3}\)

\(=-\dfrac{3}{11}\left(\dfrac{9}{2}+\dfrac{7}{3}\right)\)

\(=-\dfrac{3}{11}\cdot\dfrac{27+14}{6}=\dfrac{-3}{6}\cdot\dfrac{41}{11}=\dfrac{-1}{2}\cdot\dfrac{41}{11}=\dfrac{-41}{22}\)