Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a, 3(x+3)-2(x-5)=11
=> 3x+9-2x+10=11
=> 3x-2x=11-10-9
=> x=-8
Vậy.........
b, 14-4|x|=-6
=> -4|x|=8
=> |x|=-2(VL vì trị tuyệt đối luôn lớn hơn hoặc = 0)
Vậy......
a) \(\left(3x+4\right)^2-64=0\)
\(\left(3x+4\right)^2=0+64\)
\(\left(3x+4\right)^2=64\)
=> \(3x+4=8\) hay \(3x+4=-8\)
\(3x=8-4\) hay \(3x=-8-4\)
\(3x=4\) hay \(3x=-12\)
\(x=4:3\) hay \(x=-12:3\)
\(x=\dfrac{4}{3}\) hay \(x=-4\)
Vậy \(x=\dfrac{4}{3}\)hoặc \(x=-4\)
1a) \(\left(x+1\right)^2\left(x-2\right)^2=0\)
=> \(\orbr{\begin{cases}\left(x+1\right)^2=0\\\left(x-2\right)^2=0\end{cases}}\)
=> \(\orbr{\begin{cases}x+1=0\\x-2=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
b) \(\left(x-9\right)^5\left(x-5\right)^8=0\)
=> \(\orbr{\begin{cases}\left(x-9\right)^5=0\\\left(x-5\right)^8=0\end{cases}}\)
=> \(\orbr{\begin{cases}x-9=0\\x-5=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=9\\x=5\end{cases}}\)
\(xy+14+2y+7x=-10\)
\(\Rightarrow xy+7x+7y=-24\)
\(\Rightarrow x\left(y+7\right)+7y=-24\)
\(\Rightarrow x\left(y+7\right)+7y+49=-24+49\)
\(\Rightarrow x\left(y+7\right)+7\left(y+7\right)=25\)
\(\Rightarrow\left(x+7\right)\left(y+7\right)=25\)
\(\Rightarrow\left(x+7\right);\left(y+7\right)\inƯ\left(25\right)=\left\{\pm1;\pm5;\pm25\right\}\)
Xét bảng
x+7 | 1 | -1 | 5 | -5 | 25 | -25 |
y+7 | 25 | -25 | 5 | -5 | 1 | -1 |
x | 6 | -8 | -2 | -12 | 18 | -32 |
y | 18 | -32 | -2 | -12 | 6 | -8 |
Vậy.........................
\(xy+x+y=2\)
\(\Rightarrow x\left(y+1\right)+\left(y+1\right)=2+1\)
\(\Rightarrow\left(x+1\right)\left(y+1\right)=3\)
\(\Rightarrow\left(x+1\right);\left(y+1\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
Xét bảng
x+1 | 1 | -1 | 3 | -3 |
y+1 | 3 | -3 | 1 | -1 |
x | 0 | -2 | 2 | -4 |
y | 2 | -4 | 0 | -2 |
Vậy.....................................
\(xy-10+5x-3y=2\)
\(\Rightarrow xy-5x-3y=12\)
\(\Rightarrow x\left(y-5\right)-3y+15=12+15\)
\(\Rightarrow x\left(y-5\right)-3\left(y-5\right)=27\)
\(\Rightarrow\left(x-3\right)\left(y-5\right)=27\)
\(\Rightarrow\left(x-3\right);\left(y-5\right)\inƯ\left(27\right)=\left\{\pm1;\pm3;\pm9;\pm27\right\}\)
Tự xét bảng như trên
\(xy-1=3x+5y+4\)
\(\Rightarrow xy-3x-5y=4+1\)
\(\Rightarrow x\left(y-3\right)-5y+15=1+4+15\)
\(\Rightarrow x\left(y-3\right)-5\left(y-3\right)=20\)
\(\Rightarrow\left(x-5\right)\left(y-3\right)=20\)
\(\Rightarrow\left(x-5\right)\left(y-3\right)\inƯ\left(20\right)=\left\{\pm1;\pm2;\pm4;\pm5;\pm10;\pm20\right\}\)
Xét bảng
x-5 | 1 | -1 | 2 | -2 | 4 | -4 | 5 | -5 | 10 | -10 | 20 | -20 |
y-3 | 20 | -20 | 10 | -10 | 5 | -5 | 4 | -4 | 2 | -2 | 1 | -1 |
x | 6 | 4 | 7 | 3 | 9 | 1 | 10 | 0 | 15 | -5 | 25 | -15 |
y | 23. | -17 | 13 | -7 | 8 | -2 | 7 | -1 | 5 | 1 | 4 | 2 |
Vậy......................................
Ta có: xy+3x-2y=11
=>x(y+3)-2y=11
=>x(y+3)-(2y+6-6)=11
=>x(y+3)-[2(y+3)-6]=11
=>(x-2)(y+3)+6=11
=>(x-2)(y+3)=5
=>x-2,y+3 \(\in\)Ư(5)={-1;-5;1;5}
Ta có bảng kết quả:
x-2 | -1 | -5 | 1 | 5 |
y+3 | -5 | -1 | 5 | 1 |
x | 1 | -3 | 3 | 7 |
y | -8 | -4 | 2 | -2 |
Giải:
\(x^2+xy-3x-2y-5=0\)
\(y.\left(x-2\right)=5+3x-x^2\)
\(y=\dfrac{-x^2+3x+5}{x-2}\)
\(\Rightarrow x-2\inƯ\left(-x^2+3x+5\right)\)
\(\Rightarrow x-2\inƯ\left(\left(x-2\right).\left(-x+1\right)+7\right)\)
\(\Rightarrow x-2\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\)
Ta có bảng giá trị:
x-2=-7 thì y=-1
x=-5
x-2=-1 thì y=-7
x=1
x-2=1 thì y=7
x=3
x-2=7 thì y=1
x=9
Vậy (x;y)=(-5;-1);(1;-7);(3;7);(9;1)