\(\left(4,5-x\right)^4+\left(5,5-x\right)^4=1\)
\(\left(4,5-x\right)^4+\left(5,5-x\right)^4=626\)
giải các phương trình hệ phương trình sau :
1, ( 2x-1)4 + ( 2x + 3 ) 4 = 626
2, (3x + 2 ) 4 + ( 3x +4)4 = 16
3, 16( x - 1 )4 + (2x +3 )4 = 2
4 , 256( x - 2 )4 + ( 4x + 2 ) 4 = 2
5 , ( x - 2 ) ( x - 1 ) ( x + 3 ) (x + 4 ) =24
6 , ( x2 + 3x +2 ) ( x2 + 7x + 12 ) = 24
7 ( x2 - 1 ) ( x + 3 ) ( x + 5 ) = 9
8 , x ( x2 - 4 ) ( x + 4 ) = 18
9 , ( x2 - 3x + 2 ) ( x2 - 9x +20 ) = 4
10 , ( x+1 ) ( x + 2 ) ( x + 3 ) ( x + 4 ) = 3
11,( x + 4 ) ( x+ 5 ) ( x + 7 ) ( x + 8 ) = 4
12 , x ( x + 1 ) ( x + 2 ) ( x + 3 ) = 4
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 các PT sau :
a) \(\left|2x+3\right|-\left|x\right|+\left|x-1\right|=2x+4\)
b) \(\sqrt{x}-\dfrac{4}{\sqrt{x+2}}+\sqrt{x+2}=0\)
c) \(\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
d) \(x+\sqrt{x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}}=4\)
e) \(\sqrt{4x+3}+\sqrt{2x+1}=6x+\sqrt{8x^2+10x+3}-16\)
f)\(\sqrt[3]{x-2}+\sqrt{x+1}=3\)
GIÚP MÌNH VỚI MÌNH ĐANG CẦN GẤP
Giải pt sau :
1, \(\sqrt{x+1}+\sqrt{4-x}+\sqrt{\left(x+1\right)\left(4-x\right)}=5\)
2, \(\sqrt{x+4}+\sqrt{x-4}=2x-12+2\sqrt{x^2-16}\)
3, \(\sqrt{x+\sqrt{6x-9}}+\sqrt{x-\sqrt{6x-9}}=\sqrt{6}\)
4, \(\frac{4}{x+\sqrt{x^2+x}}-\frac{1}{x-\sqrt{x^2+x}}=\frac{3}{x}\)
5, \(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)
\(Cm:\dfrac{1}{\sqrt{x^4-x^2+4}+2x}+\dfrac{1}{\sqrt{x^4+20x^2+4}+5x}=0,vo.nghiem\forall x\in R\)
Giải các bpt
a) \(\sqrt{x^2-4-12}\le x-4\)
b) \(\sqrt{x^2-8x}\ge2\left(X+1\right)\)
C) \(\left(X-2\right).\sqrt{X^2+4}< X^2-4\)
giải pt
a) \(2\sqrt{x+2+2\sqrt{x+1}}-\sqrt{x+1}=4\)
b) \(\sqrt{x-2\sqrt{x-1}}+\sqrt{x+3-4\sqrt{x-1}}=1\)
c) \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-2\sqrt{x-1}}=2\)
d) \(\sqrt{\frac{5}{4}-x^2+\sqrt{1-x^2}}+\sqrt{\frac{5}{4}-x^2-\sqrt{1-x^2}}=x+1\)