B1:GPT
a,\(\left(m+2\right)x^2-2\left(m-1\right)x+m-2=0\)
b,\(x^2-2\left(m+1\right)x+m^2-2=0\)
B2:GPT
\(\sqrt[4]{x-\sqrt{x^2-1}}+\sqrt{x+\sqrt{x^2-1}}=2\)
gpt \(\sqrt{5x^2+14x+9}-\sqrt{x^2-x-20}=5\sqrt{x+1}\)
GPT sau: \(x=\left(2004+\sqrt{x}\right)\left(1-\sqrt{1-\sqrt{x}}\right)^2\)
gpt \(1+3x=\left(x-x^2\right)\left(5+\sqrt{15+6x-9x^2}\right)\)
GPT: \(x^2+2x\sqrt{x-\dfrac{1}{x}}=3x+1\)
GPT sau: \(x^2+\sqrt[3]{x^4-x^2}=2x+1\)
gpt \(\sqrt{x+8+2\sqrt{x+7}}+\sqrt{x+1-\sqrt{x+7}}=4\)
\(\sqrt{x+2\sqrt{x-2}}-\sqrt{x-2\sqrt{x-2}}=-2\)
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. \(\left\{{}\begin{matrix}\sqrt{2x^2+2}+\left(x^2+1\right)^2+2y-10=0\\\left(x^2+1\right)^2+x^2y\left(y-4\right)=0\end{matrix}\right.\)
a, Gpt
x^4 -2x^3+4x^2-3x=4
b, /x+1/+/x-1/=1+/x^2-1/