Giải phương trình:\(x^6+\left(x^3-3\right)^3=3x^5-9x^2-1\)
Giải phương trình:
1. \(x^3-3x^2-9x+12=0\)
2. \(x^4-x^3+18x^2-3x+9=0\)
3. \(\left(x^2-3x+3\right)^2-3x^2+8x-6=0\)
4. \(\left(2x^2-5x+1\right)^2-10x^2+24x-4=0\)
5. \(\left(x-3\right)\left(x-1\right)\left(x+2\right)\left(x+6\right)-40x^2=0\)
Giải phương trình 1, \(x^2+9x+7=\left(2x+1\right)\sqrt{2x^2+4x+5}\)
2, GPT \(\left(2x+7\right)\sqrt{2x+7}=x^2+9x+7\)
3. GHPT \(\left\{{}\begin{matrix}x^2-2y-1=2\sqrt{5y+8}+\sqrt{7x-1}\\\left(x-y\right)\left(x^2+xy+y^2+3\right)=3\left(x^2+y^2\right)+2\end{matrix}\right.\)
Giai phương trình : \(\dfrac{x^2-12}{\left(x+2\right)^2}=3x^2-6x-3\)
Giải phương trình:
a) \(x^3-3x^2-9x+12=0\)
b) \(\left(x-3\right)^4+\left(x+1\right)^4=82\)
c) \(x^4-10x^3+25x^2-20x+4=0\)
d) \(2x^4+12x^3+7x^2-33x+5=0\)
e) \(\left(x^2-3x+3\right)^2-3x^2+8x-6=0\)
f) \(\left(x-3\right)\left(x-1\right)\left(x+2\right)\left(x+6\right)-40x^2=0\)
1. Giai phương trình: \(2x+3+\sqrt{4x^2+9x+2}=2\sqrt{x+2}+\sqrt{4x+1}\)
2. Giai hệ phương trình: \(\left\{{}\begin{matrix}2x^2-y^2+xy-5x+y+2=\sqrt{y-2x+1}-\sqrt{3-3x}\\x^2-y-1=\sqrt{4x+y+5}-\sqrt{x+2y-2}\end{matrix}\right.\)
Giải phương trình:
1, \(3x^2+6x-3=\sqrt{\dfrac{x+7}{3}}\) (2 cách khác nhau )
2, \(\left(\sqrt{3x+1}-\sqrt{x-2}\right)\left(\sqrt{3x^2+7x+2}+4\right)=4x-2\)
3, \(\sqrt{-3x-1}+\sqrt{9x^2+9x+3}=-9x^2-6x\)
4, \(\sqrt{x^2+x-6}+3\sqrt{x-1}=\sqrt{5x^2-1}\)
5, \(\left(\sqrt{x+4}+2\right)\left(x+2\sqrt{x-5}+1\right)=6x\)
6, \(\sqrt{5-x^4}-\sqrt[3]{3x^2-2}=1\)
7, \(3x^2+11+\sqrt{x-2}+\sqrt{2x+3}=14x\)
8, \(\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x-7}}}}=7\)
9, \(\sqrt{2x^2-1}+3x\sqrt{x^2-1}=3x^3+2x^2-9x-7\) ( với \(x>0\) )
1) Giai phương trình: \(\left(x^2+x+1\right)\left(\sqrt[3]{\left(3x-2\right)^2}+\sqrt[3]{3x-2}+1\right)=9\)
giai hpt
a.\(\left\{{}\begin{matrix}x-2\left(y-1\right)=3x\\3x-2\left(y+1\right)=3\left(x-1\right)\end{matrix}\right.\)
b.\(\left\{{}\begin{matrix}3\left(x+1\right)-2y=5-y\\4x-2\left(y+1\right)=-3\end{matrix}\right.\)