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a) \(x^2-3x-5=x\left(x-3\right)-5\)
Để \(^2-3x-5\)chia hết cho x-3 thì x(x-3) -5 phải chia hết cho x-3
mà x(x-3) chia hết cho x-3 => -5 phải chia hết cho x-3
=> x-3\(\inƯ\left(-5\right)=\left\{-1;-5;1;5\right\}\)
Lập bảng giải tiếp
\(5x+2=5\left(x+1\right)-3\)
Để 5x+2 chia hết cho x+1 thì 5(x+1)-3 phải chia hết cho x+1
mà 5(x+1) chia hết cho x+1
=> -3 phải chia hết cho x+1
=> x+1\(\inƯ\left(-3\right)=\left\{-3;-1;1;3\right\}\)
Lập bảng giải tiếp nhé! :3
a)
x-3 | 1 | -1 | 7 | -7 |
2y +1 | 7 | -7 | 1 | -1 |
x | 4 | 2 | 10 | -4 |
y | 3 | -4 | 0 | -1 |
b)
2x +1 | 1 | -1 | 5 | -5 | 11 | -11 | 55 | -55 |
3y-2 | -55 | 55 | -11 | 11 | -5 | 5 | -1 | 1 |
x | 0 | -1 | 2 | -3 | 5 | -6 | 27 | -28 |
y | / | 19 | -3 | / | -1 | / | / | 1 |
Có 4 đáp số :(x =-1; y =19) ; (x =2 ; y =-3)
(x =5 ; y =-1) ; (x =-28 ; y =1)
a,(x-3)(2y+1)=7
Ta co: 7=1.7=7.1=(-1).(-7)=(-7).(-1)
\(\Rightarrow\)(x-3)(2y+1)=1.7 hay (x-3)(2y+1)=7.1 hay (x-3)(2y+1)=(-1).(-7) hay (x-3)(2y+1)=(-7).(-1)
TH1: \(\text{(x-3)(2y+1)=}1.7\Rightarrow\orbr{\begin{cases}\left(x-3\right)=1\\\left(2y+1\right)=7\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\y=3\end{cases}}\left(TM\right)}\)
TH2: \(\text{(x-3)(2y+1)=7.1}\Rightarrow\orbr{\begin{cases}\text{(x-3)=7}\\\text{ }\text{(2y+1)=1}\end{cases}\Rightarrow\orbr{\begin{cases}x=10\\y=0\end{cases}}\left(TM\right)}\)
TH3:\(\text{(x-3)(2y+1)=(-1).(-7)}\Rightarrow\orbr{\begin{cases}\text{(x-3)=-1}\\\text{(2y+1)=-7}\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\y=-8\end{cases}\left(TM\right)}}\)
TH4: \(\text{(x-3)(2y+1)=(-7).(-1)}\Rightarrow\orbr{\begin{cases}\text{(x-3)=-7}\\\text{(2y+1)=-1}\end{cases}\Rightarrow\orbr{\begin{cases}x=-4\\y=-1\end{cases}\left(TM\right)}}\)
Vay (x,y)={(4,3);(10,0);(4,-8);(-4;-1)}
b, (2x+1)(3y-2)=-55
Ta co: -55=-1.55=1.(-55)=55.(-1)=-55.1=-11.5=11.(-5)=5.(-11)=-5.11
\(\Rightarrow\)(2x+1)(3y-2)=-1.55 hay (2x+1)(3y-2)=1.(-55) hay (2x+1)(3y-2)=55.(-1) hay (2x+1)(3y-2)=-55.1 hay (2x+1)(3y-2)=-11.5
hay (2x+1)(3y-2)=11.(-5) hay (2x+1)(3y-2)=5.(-11) hay (2x+1)(3y-2)=-5.11
TH1:\(\text{(2x+1)(3y-2)=-1.55}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=-1}\\\text{(3y-2)=55}\end{cases}\Rightarrow\orbr{\begin{cases}x=-1\\y=19\end{cases}\left(TM\right)}}\)
TH2:\(\text{(2x+1)(3y-2)=1.(-55)}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=1}\\\text{(3y-2)=-55}\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\y=\frac{-53}{3}\end{cases}\Rightarrow}\left(loai\right)}\)
TH3:\(\text{(2x+1)(3y-2)=55.(-1)}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=55}\\\text{(3y-2)=-1}\end{cases}\Rightarrow\orbr{\begin{cases}x=27\\y=\frac{1}{3}\end{cases}\left(loai\right)}}\)
TH4: \(\text{(2x+1)(3y-2)=-55.1}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=-55}\\\text{(3y-2)=1}\end{cases}\Rightarrow\orbr{\begin{cases}x=-28\\y=1\end{cases}\left(TM\right)}}\)
TH5: \(\text{(2x+1)(3y-2)=-11.5}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=-11}\\\text{(3y-2)=5}\end{cases}\Rightarrow\orbr{\begin{cases}x=-6\\y=\frac{7}{3}\end{cases}\left(loai\right)}}\)
TH6: \(\text{(2x+1)(3y-2)=11.(-5)}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=11}\\\text{(3y-2)=-5}\end{cases}\Rightarrow\orbr{\begin{cases}x=5\\y=-1\end{cases}\left(TM\right)}}\)
TH7:\(\text{(2x+1)(3y-2)=5.(-11)}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=5}\\\text{(3y-2)=-11}\end{cases}\Rightarrow\orbr{\begin{cases}x=4\\y=-3\end{cases}\left(TM\right)}}\)
TH8:\(\text{(2x+1)(3y-2)=-5.11}\Rightarrow\orbr{\begin{cases}\text{(2x+1)=-5}\\\text{(3y-2)=11}\end{cases}\Rightarrow\orbr{\begin{cases}x=-3\\y=\frac{13}{3}\end{cases}\left(loai\right)}}\)
\(2x+4⋮x-1\Rightarrow2\left(x-1\right)+6⋮x-1\)
\(\Rightarrow6⋮x-1\Rightarrow x-1\inƯ\left(6\right)=\left\{\pm1;\pm2;\pm3;\pm6\right\}\)
\(\Rightarrow x\in\left\{2;0;3;-1;4;-2;7;-5\right\}\)
Vậy...........................................
\(2x^2+\left(-3\right)^2=41\)
\(\Rightarrow2x^2=41-9=32\)
\(\Rightarrow x^2=16\)
\(\Rightarrow x=\pm4\)
\(2\left(x-5\right)-3\left(x+7\right)=14\)
\(\Rightarrow2x-10-3x-21=14\)
\(\Rightarrow2x-3x=14+21+10\)
\(\Rightarrow-x=45\Rightarrow x=-45\)
\(-7\left(5-x\right)-2\left(x-10\right)=15\)
\(\Rightarrow-35+x-2x+20=15\)
\(\Rightarrow x-2x=15-20+35\)
\(\Rightarrow-x=30\Rightarrow x=-30\)
bạn lam sai roi ( bạn nham dau)
x = 5/6 + 7/12 - 8/12 = 9/12
ban chuyen tat ca ve phai sang ve trai va chuyen x sang ve phai
la bai toan tro len don gian ok
a/-13/24
b/15/14
c/ngu thì bấm cho nhiều vào
d/2.75
bấm tìm X đi ngu quá bấm nhiều vô
1)
a)96-3(x+1)=42
3(x+1)=96-42
3(x+1)=54
x+1=54:3
x+1=18
x=18-1
x=17
b)12x-33=3^2.3^3
12x-33=243
12x=243+33
12x=276
x=276:12
x=23
c)24+5x=7^5:7^3
24+5x=49
5x=49-24
5x=25
x=25:5
x=5
d)(x+1)+(x+2)+.......+(x+100)=5750
100x+(1+2+...+100)=5750
100x+5050=5750
100x=5750-5050
100x=700
x=700:100
x=7
e)720:[41-(2x-5)]=2^3.5
720:[41-(2x-5)]=40
[41-(2x-5)]=720:40
[4
\(2x-3⋮x+2\)
=>\(2x+4-7⋮x+2\)
=>\(-7⋮x+2\)
=>\(x+2\in\left\{1;-1;7;-7\right\}\)
=>\(x\in\left\{-1;-3;5;-9\right\}\)
thanks