giai p.t \(\frac{36}{\sqrt{x-2}}+\frac{4}{\sqrt{y-1}}=28-4\sqrt{x-2}-\sqrt{y-1}\)
giai p.t :\(\sqrt{\frac{x^3+1}{x+3}}+\sqrt{x+1}=\sqrt{x^2-x+1}+\sqrt{x+3}\)
giai p.t :\(\sqrt{x}+2\sqrt{x+3}=x+4\)
giai p.t : \(\frac{1}{x}+\frac{1}{\sqrt{2-x^2}}=2\)
giai p.t : \(x\sqrt{x^2-x+1}+4\sqrt{3x+1}=x^2+x+3\)
Giải phương trình:
\(a)\sqrt{x^2+2x+4}\ge x-2\\ b)x=\sqrt{x-\frac{1}{x}}+\sqrt{x+\frac{1}{x}}\\ c)\sqrt{x+2+3\sqrt{2x-5}}+\sqrt{x-2\sqrt{2x-5}}\\ d)x+y+z+4=2\sqrt{x-2}+4\sqrt{y-3}+6\sqrt{z-5}\\ e)\sqrt{x}+\sqrt{y-1}+\sqrt{z-2}=\frac{1}{2}\left(x+y+z\right)\)
Giai pt :
a,\(\frac{x}{\sqrt{y+z-4}}\) + \(\frac{y}{\sqrt{z+x-4}}\) + \(\frac{z}{\sqrt{x+y-4}}\)= 6
b, \(\sqrt{2x^2-1}+\sqrt{x^2-3x-2}\)= \(\sqrt{2x^2+7x+3}+\sqrt{x^2-x+2}\)
Ai làm nhanh và đúng nhất mk tk cho !
a)Giải các phương trình sau bằng phương pháp đặt ẩn phụ:
1) \(x^2-3x-3=\frac{3\left(\sqrt[3]{x^3-4x^2+4}-1\right)}{1-x}\) ;2)\(1+\frac{2}{3}\sqrt{x-x^2}=\sqrt{x}+\sqrt{1-x}\)
b) Giải các phương trình sau(không giới hạn phương pháp):
1)\(2\left(1-x\right)\sqrt{x^2+2x-1}=x^2-2x-1\) ; 2)\(\sqrt{2x+4}-2\sqrt{2-x}=\frac{12x-8}{\sqrt{9x^2+16}}\)
3)\(\frac{3x^2+3x-1}{3x+1}=\sqrt{x^2+2x-1}\) ; 4) \(\frac{2x^3+3x^2+11x-8}{3x^2+4x+1}=\sqrt{\frac{10x-8}{x+1}}\)
5)\(13x-17+4\sqrt{x+1}=6\sqrt{x-2}\left(1+2\sqrt{x+1}\right)\);
6)\(x^2+8x+2\left(x+1\right)\sqrt{x+6}=6\sqrt{x+1}\left(\sqrt{x+6}+1\right)+9\)
7)\(x^2+9x+2+4\left(x+1\right)\sqrt{x+4}=\frac{5}{2}\sqrt{x+1}\left(2+\sqrt{x+4}\right)\)
8)\(8x^2-26x-2+5\sqrt{2x^4+5x^3+2x^2+7}\)
Giai pt
1) \(\left(x+5\right)\left(2-x\right)=3\sqrt{x^2+3x}\)
2) \(\frac{x}{x+1}-2\sqrt{\frac{x+1}{x}}-3=0\)
3) \(x^2+\sqrt{2x^2+4x+3}=6-2x\)
4) \(x^2+\sqrt{x+5}=5\)
5) \(x^3+4x-\left(2x+7\right)\sqrt{2x+3}=0\)