bbn có thể tham khảo:
https://hoc247.net/hoi-dap/toan-9/giai-phuong-trinh-x-3-x-2-x-1-3-faq101745.html
`=> 4x^3 - x^3 - 3x^2 - 3x = 1`
`=> 4x^3 = (x+1)^3`
`=> x - x/(3^sqrt 4) = 1/(3^sqrt 4)`
`=> x = 1/(3^sqrt4 - 1)`
bbn có thể tham khảo:
https://hoc247.net/hoi-dap/toan-9/giai-phuong-trinh-x-3-x-2-x-1-3-faq101745.html
`=> 4x^3 - x^3 - 3x^2 - 3x = 1`
`=> 4x^3 = (x+1)^3`
`=> x - x/(3^sqrt 4) = 1/(3^sqrt 4)`
`=> x = 1/(3^sqrt4 - 1)`
Giải hệ phương trình:
1. \(\left\{{}\begin{matrix}3\sqrt{x}-\sqrt{y}=5\\2\sqrt{x}+3\sqrt{y}=18\end{matrix}\right.\)
2. \(\left\{{}\begin{matrix}\sqrt{x+3}-2\sqrt{y+1}=2\\2\sqrt{x+3}+\sqrt{y+1}=4\end{matrix}\right.\)
3. \(\left\{{}\begin{matrix}3\sqrt{x}+2\sqrt{y}=6\\\sqrt{x}-\sqrt{y}=4,5\end{matrix}\right.\)
4. \(\left\{{}\begin{matrix}\sqrt{x}+\sqrt{y+1}=1\\\sqrt{y}+\sqrt{x+1}=1\end{matrix}\right.\)
(4) cmr: pt sau luôn có nghiệm ∀m
a) \(x^2+2\left(m-1\right)x-2m-3=0\)
b) \(x^2+\left(2m-1\right)x+2m-2=0\)
c) \(x^2-2\left(m+1\right)+2m-2=0\)
d) \(x^2-2\left(m+1\right)x+2m=0\)
e) \(x^2-2mx+m-7=0\)
f) \(x^2-2\left(m-1\right)x-3-m=0\)
giúp mk vs ạ mk cần gấp
x(x+1)(x+2)(x+3)=24
Giải pt
a. x4 + 2x3 - 4x2 - 2x + 1 = 0
b. 2x4 + 5x3 + x2 + 5x + 2 = 0
c. x4 - 5x3 + 6x2 +5x + 1 = 0
d.(x -4)(x - 5)(x - 8)(x - 10) = 72x2
e. (x + 10)(x + 12)(x +15)(x + 18) = 2x2
giai he phuongtrinh \(\left\{{}\begin{matrix}x^2+\dfrac{1}{y^2}+\dfrac{x}{y}=3\\x+\dfrac{1}{y}+\dfrac{x}{y}=3\end{matrix}\right.\)
Giải các pt sau bằng cách đặt ẩn phụ
a) 3(x2+\(\frac{1}{x^2}\)) - 16(x+\(\frac{1}{x}\))+26=0
b) (x+2)(x+3)(x+8)(x+12)=4
tìm x: x^4 - 3x^2 + 1/x^4 - 3/x^2 = 2
Giải hệ phương trình:
a,\(\left\{{}\begin{matrix}\text{2 x − 7 y = 20 }\\\text{3 x + 7 y = − 5}\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}\text{2 x + 3 y = 8 }\\\text{− 3 x + 5 y = 7 }\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}-2x+\frac{1}{2}y=3\\\text{5 x + 3 y = 11 }\end{matrix}\right.\)
d,\(\left\{{}\begin{matrix}\text{( x − 16 )( y + 6 ) = x y − 36 }\\\text{( x + 8 )( y − 3 ) = x y − 54 }\end{matrix}\right.\)
e,\(\left\{{}\begin{matrix}\text{3 x − | y | = 1 }\\\text{5 x + 3 y = 11 }\end{matrix}\right.\)
f,\(\left\{{}\begin{matrix}\frac{3}{x}+\frac{4}{y}=5\\\frac{1}{x}-\frac{1}{y}=1\end{matrix}\right.\)
g,\(\left\{{}\begin{matrix}x+2\sqrt{y-1}=3\\3x+4\sqrt{y-1}=7\end{matrix}\right.\)
Giúp mình với ạ!!!
giải hệ phương trình:
a,\(\left\{{}\begin{matrix}\dfrac{1}{2}\left(x+2\right)\left(y+3\right)=\dfrac{1}{2}xy+50\\\dfrac{1}{2}\left(x-2\right)\left(y-2\right)=\dfrac{1}{2}xy-32\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}\dfrac{-1}{2}x+\dfrac{1}{3}y=0\\y-x=1\end{matrix}\right.\)
c,\(\left\{{}\begin{matrix}x\left(y-2\right)=\left(x+2\right)\left(y-4\right)\\\left(x-3\right)\left(2y+7\right)=\left(2x-7\right)\left(y+3\right)\end{matrix}\right.\)
Cho đa thức f(x)= mx3 + ( m - 2 )x2 - ( 3n - 5 )x - 4n . Hãy xác định m và n sao cho f(x) chia hết cho x + 1 và x - 3 .