Các câu hỏi tương tự
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)\(\sqrt{7x+7}+\sqrt{7x-6}+2\sqrt{49x^2+7x-42}=181-14x\)
a)\(\sqrt{\sqrt{5}-\sqrt{3x}}\)
b) \(\sqrt{\sqrt{6x}-4x}\)
c) \(\sqrt{\left(\sqrt{x}-7\right)\left(\sqrt{x}+7\right)}\)
d) \(\sqrt{\left(x-6\right)^6}\)
e) \(\sqrt{-12x+5}\)
f) \(2-4\sqrt{5x+8}\)
g) \(\sqrt{x^2-9}\)
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
gpt:\(\sqrt{3x^2+6x+4}+\sqrt{2x^2+4x+11}=\left(1-x\right)\left(x+3\right)\)
\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+21}=5-x^2-2x\)
\(\sqrt{x^2-x+2}+\sqrt{x^2-3x+6}=2x\)
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)\(8x^2-26x-2+5\sqrt{2x^4+5x^3+2x^2+7}\)
\(\left(1\right)\sqrt{x^2-9}-2\sqrt{x-3}=0\)
\(\left(2\right)\sqrt{4x+1}-\sqrt{3x-4}=1\)
\(\left(3\right)\sqrt{x^2-10x+25}=5-x\)
\(\left(4\right)\sqrt{x^2-8x+16}=x+2\)
(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 :1, sqrt{4-x^2}+2sqrt[3]{x^4-4x^3+4x^2}left(x-1right)^2+1-left|xright|2, 2x^3+9x^2-6xleft(1+2sqrt{6x-1}right)+2sqrt{6x-1}+803, x^3-3x+1sqrt{8-3x^2}4, left(4x^2+x-1right)sqrt{x^2+x+2}left(4x^2+3x+5right)sqrt{x^2-1}5, sqrt[3]{3-x^3}2x^3+x-36, sqrt[3]{x^2+3x+3}+sqrt[3]{2x^2+3x+2}6x^2+12x+87, frac{x^2+2x-8}{x^2-2x+3}left(x+1right)left(sqrt{x+2}-2right)8, frac{4x-1}{sqrt{4x-3}}+frac{11-2x}{sqrt{5-x}}frac{15}{2}9, ...
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giải phương trình :
1, \(\sqrt{4-x^2}+2\sqrt[3]{x^4-4x^3+4x^2}=\left(x-1\right)^2+1-\left|x\right|\)
2, \(2x^3+9x^2-6x\left(1+2\sqrt{6x-1}\right)+2\sqrt{6x-1}+8=0\)
3, \(x^3-3x+1=\sqrt{8-3x^2}\)
4, \(\left(4x^2+x-1\right)\sqrt{x^2+x+2}=\left(4x^2+3x+5\right)\sqrt{x^2-1}\)
5, \(\sqrt[3]{3-x^3}=2x^3+x-3\)
6, \(\sqrt[3]{x^2+3x+3}+\sqrt[3]{2x^2+3x+2}=6x^2+12x+8\)
7, \(\frac{x^2+2x-8}{x^2-2x+3}=\left(x+1\right)\left(\sqrt{x+2}-2\right)\)
8, \(\frac{4x-1}{\sqrt{4x-3}}+\frac{11-2x}{\sqrt{5-x}}=\frac{15}{2}\)
9, \(x^2-4x+14+\sqrt{x+4}=2\sqrt{1+12x}+\sqrt{1+\sqrt{1+12x}}\)
help me now
\(\left(x-x^2\right)\left(\sqrt{x-2}+2\right)=2x^3-5x^2+5x-2\)
\(\sqrt{2x-3+\sqrt{4x-7}}+\sqrt{2x+9+5\sqrt{4x-7}}=4\sqrt{2}\)
\(\left(\sqrt{3x+1}-\sqrt{x+2}\right)\left(\sqrt{3x^2+7x+2}+9\right)=6x-3\)