\(x^2+2x+9⋮x+2\)

\(\Leftrightarrow x\left(x+2\right)+9⋮x+2\)

Dễ thấy \(x\left(x+2\right)⋮x+2\) nên \(9⋮x+2\)

\(\Rightarrow x+2\in\left\{1;9;-1;-9;3;-3\right\}\)

\(\Rightarrow x\in\left\{-1;7;-3;-11;1;-5\right\}\)

\(x-y=-4;xy=5\)

\(\Rightarrow x-y+xy=1\)

\(\Leftrightarrow y\left(x-1\right)+\left(x-1\right)=0\)

\(\Leftrightarrow\left(x-1\right)\left(y+1\right)=0\)

\(\Rightarrow x=1\left(h\right)y=-1\)

Thay từng TH vào thì ta được x,y nhanh chóng

\(\left(2x+1\right)^2=49\)

\(\Rightarrow2x+1=7\left(h\right)2x+1=-7\)

\(\Rightarrow2x=6\left(h\right)2x=-8\)

\(\Rightarrow x=3\left(h\right)x=-4\)

\(\left(2x-3\right)^4=81\)

\(\Rightarrow2x-3=3\left(h\right)2x-3=-3\)

\(\Rightarrow2x=6\left(h\right)2x=0\)

\(\Rightarrow x=3\left(h\right)x=0\)

\(\left(x+2\right)x+3\left(x-18\right)=-48\)

\(\Leftrightarrow x^2+2x+3x-48=-48\)

\(\Leftrightarrow x^2+5x=0\)

\(\Leftrightarrow x=0;x=-5\)

\(4\left(x+5\right)=2\left(x-7\right)\)

\(\Leftrightarrow4x+20=2x-14\)

\(\Leftrightarrow2x=-34\)

\(\Leftrightarrow x=-17\)

Bổ sung đk x,y nguyên

\(x+5⋮x-2\)

\(\Leftrightarrow x-2+7⋮x-2\)

\(\Leftrightarrow7⋮x-2\)

\(\Leftrightarrow x-2\in\left\{1;7;-1;-7\right\}\)

\(\Leftrightarrow x\in\left\{3;9;1;-5\right\}\)

\(x-3⋮x+2\)

\(\Leftrightarrow x+2-5⋮x+2\)

\(\Leftrightarrow5⋮x+2\)

\(\Leftrightarrow x+2\in\left\{1;5;-1;-5\right\}\)

\(\Leftrightarrow x\in\left\{-1;3;-3;-7\right\}\)

Bn nào trả lời mik k cho , kết bn lm quen thoải mái ! 

chẳng có ai trả lời biết ngay là sẽ có đứa đăng lên

a) -152 - (3x + 1) = (-2).(-3)³

-152 - 3x - 1 = (-2).(-27)

-3x - 153 = 54

-3x = 54 + 153

-3x = 207

x = -69

b) x - 43 = (35 - x) - 48

x - 43 = 35 - x - 48

x - 43= -x - 13

x = -x - 13 + 43

x = 30 + x

x + x = 30

2x = 30

x = 15

Giải:

a)124+(-52).124 + (-124).(-47)

=124+(-52).124+124.47

=124+124.[(-52)+47]

=124+124.(-5)

=124.(-4)

=-496

b)(-2)³.(-6).(-5)³

=-8.(-6).(-125)

=-8.(-125).(-6)

=1000.(-6)

=-6000

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