giải pt
\(\left\{{}\begin{matrix}2x^2+y^2-3xy+3x-2y+1=0\\4x^2-y^2+x+4=\sqrt{2x+y}+\sqrt{x+4x}\end{matrix}\right.\)
Giải phương trình:
1. \(x^4-6x^2-12x-8=0\)
2. \(\dfrac{x}{2x^2+4x+1}+\dfrac{x}{2x^2-4x+1}=\dfrac{3}{5}\)
3. \(x^4-x^3-8x^2+9x-9+\left(x^2-x+1\right)\sqrt{x+9}=0\)
4. \(2x^2.\sqrt{-4x^4+4x^2+3}=4x^4+1\)
5. \(x^2+4x+3=\sqrt{\dfrac{x}{8}+\dfrac{1}{2}}\)
6. \(\left\{{}\begin{matrix}4x^3+xy^2=3x-y\\4xy+y^2=2\end{matrix}\right.\)
7. \(\left\{{}\begin{matrix}\sqrt{x^2-3y}\left(2x+y+1\right)+2x+y-5=0\\5x^2+y^2+4xy-3y-5=0\end{matrix}\right.\)
8. \(\left\{{}\begin{matrix}\sqrt{2x^2+2}+\left(x^2+1\right)^2+2y-10=0\\\left(x^2+1\right)^2+x^2y\left(y-4\right)=0\end{matrix}\right.\)
giải hệ pt:
\(\left\{{}\begin{matrix}\sqrt{2x+y-1}-\sqrt{x+2y-2}+x-y+1=0\\4x^2-y^2+x+4=\sqrt{2x+y}+\sqrt{x+4y}\end{matrix}\right.\)
giải pt
a) \(x^2+4x-3\left|x+2\right|+4=0\)
b) \(\left(x+2\right)^2-3\left|x+2\right|-4=0\)
c) \(\left(x^2-3\right)^2-6\left|x^2-3\right|+5=0\)
d) \(\frac{x^2-4x+4}{x^2-2x+1}+\frac{\left|2x-4\right|}{x-1}=3\)
e) \(\left|\frac{2x-1}{x+2}\right|-2\left|\frac{x+2}{2x-1}\right|=1\)
f) \(x^2+\frac{1}{x^2}-10=2\left|x-\frac{1}{x}\right|\)
Tìm m để pt có nghiệm:
\(\sqrt{4x^2-2x+3m-4}=5-2x\)
Giải: \(\sqrt{3x+1}-\sqrt{6-x}+2x^2-14x-8=0\)
giải pt
a) \(\sqrt{4-x}-\sqrt{x+1}=\sqrt{1+2x}\)
b) \(5x-\sqrt{5x+1}\left(\sqrt{14x+7}-\sqrt{2x+3}\right)+1=0\)
c) \(\sqrt[3]{2-2x}=1-\sqrt{2x-1}\)
d) \(\sqrt{5-4x}+\sqrt[3]{x+7}=3\)
Giải pt: 4x2 + \(\frac{1}{x^2}+\left|2x-\frac{1}{x}\right|-6=0\)
Giải hệ pt
\(\left\{{}\begin{matrix}\sqrt{4x+10y}-\sqrt{2x+2y}=4\\x+2y+\dfrac{2\sqrt{2x^2+7xy+5y^3}}{3}=24\end{matrix}\right.\)
Giải pt sau:
\(1+\sqrt{x^2-4x+3}-x=0\)
\(\sqrt{x+1}=3-\sqrt{x-4}\)
\(\sqrt{x+1}-\sqrt{x-7}=\sqrt{12-x}\)
\(x-\sqrt{2x^2+3x-5}=2x-1\)
Cần gắp mn oii