Các câu hỏi tương tự
a) \(\sqrt{3x^2-5x+7}\)+\(\sqrt{3x^2+x+1}\) = 12x-12
b) \(\sqrt{x^2+33}\)+3 = 2x+\(\sqrt{x^2-12}\)
c) 3x-\(8\sqrt{x+14}\) = \(2\sqrt{2x-3}\) - 28
d) \(x^2\)+\(\sqrt{x+7}\) = 7
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
gpt:\(\sqrt{3x^2+6x+4}+\sqrt{2x^2+4x+11}=\left(1-x\right)\left(x+3\right)\)
\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+21}=5-x^2-2x\)
\(\sqrt{x^2-x+2}+\sqrt{x^2-3x+6}=2x\)
(Nghi binh 20/09)Giải các phương trình sau:a)32x^4-80x^3+50x^2+4x-3-4sqrt{x-1}0b) sqrt{5x^3-12x^2+12x-7}frac{x^2}{2}+2x-3c)sqrt{2x^2-16x+41}+sqrt{3x^2-24x+64}7d)x+sqrt{2x-3}1+sqrt{x-1}+sqrt{x^2-3x+3}e) left(2x-1right)sqrt{x^2+1}x^2+4x-5f)sqrt{8+sqrt{x}}+sqrt{5-sqrt{x}}5g)2left(x^2+2x+3right)5sqrt{x^3+3x^2+3x+2}h)sqrt[3]{81x-8}x^3-2x^2+frac{4}{3}x-2i)sqrt{xleft(x+1right)}+sqrt{xleft(x+2right)}sqrt{xleft(x-3right)}
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(Nghi binh 20/09)
Giải các phương trình sau:
a)\(32x^4-80x^3+50x^2+4x-3-4\sqrt{x-1}=0\)
b) \(\sqrt{5x^3-12x^2+12x-7}=\frac{x^2}{2}+2x-3\)
c)\(\sqrt{2x^2-16x+41}+\sqrt{3x^2-24x+64}=7\)
d)\(x+\sqrt{2x-3}=1+\sqrt{x-1}+\sqrt{x^2-3x+3}\)
e) \(\left(2x-1\right)\sqrt{x^2+1}=x^2+4x-5\)
f)\(\sqrt{8+\sqrt{x}}+\sqrt{5-\sqrt{x}}=5\)
g)\(2\left(x^2+2x+3\right)=5\sqrt{x^3+3x^2+3x+2}\)
h)\(\sqrt[3]{81x-8}=x^3-2x^2+\frac{4}{3}x-2\)
i)\(\sqrt{x\left(x+1\right)}+\sqrt{x\left(x+2\right)}=\sqrt{x\left(x-3\right)}\)
giải phương trình:
\(a,\sqrt{2x-3}+\sqrt{5-2x}=3x^2-12x+14\)
\(b,x^2-2x-x\sqrt{x}-2\sqrt{x}+4=0\)
\(c,3x^2+21x+18+2\sqrt{x^2+7x+7}=2\)
\(d,\frac{2\sqrt{2}}{\sqrt{x+1}}+\sqrt{x}=\sqrt{x+9}\)
\(c,\sqrt{3x^2-5x+1}-\sqrt{x^2-2}=\sqrt{3\left(x^2-x-1\right)}-\sqrt{x^2-3x+4}\)
a)Giải các phương trình sau bằng phương pháp đặt ẩn phụ:1) x^2-3x-3frac{3left(sqrt[3]{x^3-4x^2+4}-1right)}{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)2left(1-xright)sqrt{x^2+2x-1}x^2-2x-1 ; 2)sqrt{2x+4}-2sqrt{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+4sqrt{x+1}6sqrt{x-2}left(1+2sqrt{x+1}right);6)x^2+8x+2left(x+1right)sqrt{x+6}6sqrt{x+...
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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)\(8x^2-26x-2+5\sqrt{2x^4+5x^3+2x^2+7}\)
1)7sqrt{3x-7}+left(4x-7right)sqrt{7-x}322)4x^2-11x+6left(x-1right)sqrt{2x^2-6x+6}3)9+3sqrt{xleft(3-2xright)}7sqrt{x}+5sqrt{3-2x}4)sqrt{2x^2+4x+7}x^4+4x^3+3x^2-2x-75)frac{6-2x}{sqrt{5-x}}+frac{6+2x}{sqrt{5+x}}frac{8}{3}6)2left(5x-3right)sqrt{x+1}+left(x+1right)sqrt{3-x}3left(5x+1right)7)sqrt{7x+7}+sqrt{7x-6}+2sqrt{49x^2+7x-42}181-14x
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1)\(7\sqrt{3x-7}+\left(4x-7\right)\sqrt{7-x}=32\)
2)\(4x^2-11x+6=\left(x-1\right)\sqrt{2x^2-6x+6}\)
3)\(9+3\sqrt{x\left(3-2x\right)}=7\sqrt{x}+5\sqrt{3-2x}\)
4)\(\sqrt{2x^2+4x+7}=x^4+4x^3+3x^2-2x-7\)
5)\(\frac{6-2x}{\sqrt{5-x}}+\frac{6+2x}{\sqrt{5+x}}=\frac{8}{3}\)
6)\(2\left(5x-3\right)\sqrt{x+1}+\left(x+1\right)\sqrt{3-x}=3\left(5x+1\right)\)
7)\(\sqrt{7x+7}+\sqrt{7x-6}+2\sqrt{49x^2+7x-42}=181-14x\)
Giải phương trình
1.\(\sqrt{2x-3}-\sqrt{5-2x}=3x^2-12x+14\)
2.\(x^2+2x+15=6\sqrt{4x+5}\)
3.\(x^2-5x-8=2\sqrt{x-2}\)
4.\(\sqrt{x+1+\sqrt{x+\frac{3}{4}}}=x+1\)
Giai phương trình
a) \(\sqrt{2x+3}+\sqrt{x+1}=3x+3\sqrt{2x^2+5x+3}-16\)
b) \(\sqrt{2x^2-1}+\sqrt{x^2-3x-2}=\sqrt{2x^2+2x+3}+\sqrt{x^2-x-2}\)
c)\(5x+2\sqrt{x+1}-\sqrt{1-x}=-3\)
d) \(\sqrt{2016x^2-2005}+\sqrt{2005x^2-x-2004}=\sqrt{2006x^2+2x-2003}+\sqrt{2005x^2+x-2002}\)