Các câu hỏi tương tự
15 tháng 11 2021 lúc 20:36
Rút gọn
a) \(\dfrac{x^5-2x^4+2x^3-4x^2-3x+6}{x+4}\)
b) \(\dfrac{x^4-4x^2+3}{x^4+6x^2-7}\)
c) \(\dfrac{x^4+x^3-x-1}{x^4+x^3+2x^2+x+1}\)
giải những phương trình sau:
1. \(\sqrt{x^2+1}=\sqrt{5}\)
2. \(\sqrt{2x-1}=\sqrt{3}\)
3. \(\sqrt{43-x}=x-1\)
4. \(x-\sqrt{4x-3}=2\)
5. \(\dfrac{\sqrt{x}+1}{\sqrt{x+3}}=\dfrac{1}{2}\)
giải các phương trình sau:
a \(x^3+x^2+x=-\dfrac{1}{3}\)
b \(x^3+2x^2-4x=-\dfrac{8}{3}\)
2 tháng 10 2023 lúc 11:36
giải các phương trình sau:1,sqrt{18x}-6sqrt{dfrac{2x}{9}}3-sqrt{dfrac{x}{2}}2,sqrt{3x}-2sqrt{12x}+dfrac{1}{3}sqrt{27x}-43, 3sqrt{2x}+5sqrt{8x}-20-sqrt{18}04,sqrt{16x+16}-sqrt{9x+9}15,sqrt{4left(1-3xright)}+sqrt{9left(1-3xright)}106,dfrac{2}{3}sqrt{x-3}+dfrac{1}{6}sqrt{x-3}-sqrt{x-3}dfrac{-2}{3}
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giải các phương trình sau:
\(1,\sqrt{18x}-6\sqrt{\dfrac{2x}{9}}=3-\sqrt{\dfrac{x}{2}}\)
\(2,\sqrt{3x}-2\sqrt{12x}+\dfrac{1}{3}\sqrt{27x}=-4\)
3, \(3\sqrt{2x}+5\sqrt{8x}-20-\sqrt{18}=0\)
\(4,\sqrt{16x+16}-\sqrt{9x+9}=1\)
\(5,\sqrt{4\left(1-3x\right)}+\sqrt{9\left(1-3x\right)}=10\)
\(6,\dfrac{2}{3}\sqrt{x-3}+\dfrac{1}{6}\sqrt{x-3}-\sqrt{x-3}=\dfrac{-2}{3}\)
26 tháng 10 2021 lúc 9:41
6) \(\sqrt{x^2+12x+36}=-x-6\)
7) \(\sqrt{9x^2-12x+4}=3x-2\)
8) \(\sqrt{16-24x+9x^2}=2x-10\)
9) \(\sqrt{x^2-6x+9}==2x-3\)
10) \(\sqrt{x^2-3x+\dfrac{9}{4}}=\dfrac{3}{x}x-4\)
Tìm điều kiện có nghĩa:1) -dfrac{1}{sqrt{a+2}}2) sqrt{dfrac{3}{left(x-2right)^2}}3) sqrt{dfrac{-3}{a^2-4a+4}}4) sqrt{dfrac{2}{x^2+2x+2}}5) sqrt{dfrac{-3}{x^2-4x+5}}6) sqrt{dfrac{-4}{x^2-1}}7) sqrt{dfrac{x+1}{x-2}}8) sqrt{dfrac{x-2}{x+3}}
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Tìm điều kiện có nghĩa:
1) \(-\dfrac{1}{\sqrt{a+2}}\)
2) \(\sqrt{\dfrac{3}{\left(x-2\right)^2}}\)
3) \(\sqrt{\dfrac{-3}{a^2-4a+4}}\)
4) \(\sqrt{\dfrac{2}{x^2+2x+2}}\)
5) \(\sqrt{\dfrac{-3}{x^2-4x+5}}\)
6) \(\sqrt{\dfrac{-4}{x^2-1}}\)
7) \(\sqrt{\dfrac{x+1}{x-2}}\)
8) \(\sqrt{\dfrac{x-2}{x+3}}\)
26 tháng 11 2023 lúc 15:22
Giải hpta)left{{}begin{matrix}dfrac{4}{2x-3y}+dfrac{5}{3x+y}-2dfrac{3}{3x+y}-dfrac{5}{2x-3y}21end{matrix}right.b)left{{}begin{matrix}dfrac{7}{x-y+2}-dfrac{5}{x+y-1}dfrac{9}{2}dfrac{3}{x-y+2}+dfrac{2}{x+y-1}4end{matrix}right.c)left{{}begin{matrix}dfrac{3}{2x-y}-dfrac{6}{x+y}-1dfrac{1}{2x-y}-dfrac{1}{x+y}0end{matrix}right.d)left{{}begin{matrix}dfrac{4}{x+y-1}-dfrac{5}{2x-y+3}dfrac{5}{2}dfrac{3}{x+y-1}+dfrac{1}{2x-y+3}dfrac{7}{5}end{matrix}right.e)left{{}begin{matrix}dfrac{6}{x-2y}+dfrac{2}{x+2y}3d...
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Giải hpt
a)\(\left\{{}\begin{matrix}\dfrac{4}{2x-3y}+\dfrac{5}{3x+y}=-2\\\dfrac{3}{3x+y}-\dfrac{5}{2x-3y}=21\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{7}{x-y+2}-\dfrac{5}{x+y-1}=\dfrac{9}{2}\\\dfrac{3}{x-y+2}+\dfrac{2}{x+y-1}=4\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\dfrac{3}{2x-y}-\dfrac{6}{x+y}=-1\\\dfrac{1}{2x-y}-\dfrac{1}{x+y}=0\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\dfrac{4}{x+y-1}-\dfrac{5}{2x-y+3}=\dfrac{5}{2}\\\dfrac{3}{x+y-1}+\dfrac{1}{2x-y+3}=\dfrac{7}{5}\end{matrix}\right.\)
e)\(\left\{{}\begin{matrix}\dfrac{6}{x-2y}+\dfrac{2}{x+2y}=3\\\dfrac{3}{x-2y}+\dfrac{4}{x+2y}=-1\end{matrix}\right.\)
Giải phương trình
a) \(\sqrt{x-2}=\sqrt{x^2-4x+3}\)
b) \(2\left(\sqrt{\dfrac{x-1}{4}}-3\right)=2\sqrt{\dfrac{4x-4}{9}}-\dfrac{1}{3}\)
c) \(\dfrac{9x-7}{\sqrt{7x+5}}=\sqrt{7x+5}\)
d) \(4+\sqrt{2x+6-6\sqrt{2x-3}}=\sqrt{2x-2+2\sqrt{2x-3}}\)
Giải phương trình :
a) \(\sqrt{2x^2-\sqrt{2}x+\dfrac{1}{4}}=\sqrt{2}x\)
b)\(\sqrt{4x+8}+\dfrac{1}{3}\sqrt{9x+18}=3\sqrt{\dfrac{x+2}{4}}+\sqrt{2}\)