a) Ta có: \(B=\left(\dfrac{x+3\sqrt{x}-3}{x-16}-\dfrac{1}{\sqrt{x}+4}\right):\dfrac{\sqrt{x}+1}{\sqrt{x}-4}\)
\(=\left(\dfrac{x+3\sqrt{x}-3-\sqrt{x}+4}{\left(\sqrt{x}+4\right)\left(\sqrt{x}-4\right)}\right):\dfrac{\sqrt{x}+1}{\sqrt{x}-4}\)
\(=\dfrac{x+2\sqrt{x}+1}{\left(\sqrt{x}+4\right)\left(\sqrt{x}-4\right)}\cdot\dfrac{\sqrt{x}-4}{\sqrt{x}+1}\)
\(=\dfrac{\sqrt{x}+1}{\sqrt{x}+4}\)
Giải hệ phương trình:
a) \(\left\{{}\begin{matrix}\dfrac{3}{4}x+\dfrac{2}{3}y=16\\\dfrac{5}{2}x-\dfrac{3}{5}y=11\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}\sqrt{3}x-y=1\\5x+\sqrt{2}y=\sqrt{3}\end{matrix}\right.\)
Giải các hệ phương trình sau:
1, \(\left\{{}\begin{matrix}\left|x-1\right|+\dfrac{2}{y}=2\\-\left|x-1\right|+\dfrac{4}{y}=1\end{matrix}\right.\)
2, \(\left\{{}\begin{matrix}2\left|x-1\right|-\dfrac{5}{y-1}=-3\\\left|x-1\right|+\dfrac{2}{y-1}=3\end{matrix}\right.\)
3, \(\left\{{}\begin{matrix}\dfrac{1}{x-5}+\dfrac{6}{\sqrt{y}-2}=2\\\dfrac{2}{x-5}-\dfrac{1}{\sqrt{y}-2}=-9\end{matrix}\right.\)
4, \(\left\{{}\begin{matrix}\dfrac{7}{\sqrt{x+7}}-\dfrac{4}{\sqrt{y-6}}=\dfrac{5}{3}\\\dfrac{5}{\sqrt{x+7}}+\dfrac{3}{\sqrt{y-6}}=\dfrac{13}{6}\end{matrix}\right.\)
Tìm điều kiện giúp mình nhé!
Giải các hệ phương trình sau bằng phương pháp cộng đại số:
a) \(\left\{{}\begin{matrix}\sqrt{2}x-y=3\\x+\sqrt{2}y=\sqrt{2}\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}\dfrac{x}{2}-2y=\dfrac{3}{4}\\2x+\dfrac{y}{3}=-\dfrac{1}{3}\end{matrix}\right.\)
c) \(\left\{{}\begin{matrix}\dfrac{2x-3y}{4}-\dfrac{x+y-1}{5}=2x-y-1\\\dfrac{x+y-1}{3}+\dfrac{4x-y-2}{4}=\dfrac{2x-y-3}{6}\end{matrix}\right.\)
Giải hệ phương trình sau bằng phương ơhasp đặt ẩn phụ :
a) \(\dfrac{2}{x+2y}+\dfrac{1}{y+2x}=3\)
\(\dfrac{4}{x+2y}-\dfrac{3}{y+2x}=1\)
b)\(\dfrac{3x}{x+1}-\dfrac{2}{y+4}=4\)
\(\dfrac{2x}{x+1}-\dfrac{5}{y+4}=9\)
c)x2+y2=13
3x2-2y2= -6
d) 3\(\sqrt{x}\) +2\(\sqrt{y}\) = 16
2\(\sqrt{x}\) - 2\(\sqrt{y}\) = -11
Giải pt :
a, \(32^{\dfrac{x+5}{x-7}}=0,25\cdot128^{\dfrac{x-7}{x+3}}\)
b, \(\left(3+2x-x^2\right)^{\sqrt{3}\sin x}=\left(3+2x-x^2\right)^{1-cosx}\)
giải hệ phương trình
a,\(\left\{{}\begin{matrix}2\left(x+y\right)+3\left(x-y\right)=4\\\left(x+y\right)+2\left(x-y\right)=5\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}\dfrac{3}{x}-\dfrac{4}{y}=2\\\dfrac{4}{x}-\dfrac{5}{y}=3\end{matrix}\right.\)
c, \(\left\{{}\begin{matrix}\dfrac{3}{2x-y}-\dfrac{6}{x+y}=-1\\\dfrac{1}{2x-y}-\dfrac{1}{x+y}=0\end{matrix}\right.\)
Giải hệ phương trình:
a) \(\left\{{}\begin{matrix}\dfrac{3}{x}+\dfrac{5}{y}=\dfrac{-3}{2}\\\dfrac{5}{x}-\dfrac{2}{y}=\dfrac{8}{3}\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}\dfrac{2}{x+y-1}-\dfrac{4}{x-y+1}=\dfrac{-14}{5}\\\dfrac{3}{x+y-1}+\dfrac{2}{x-y+1}=\dfrac{-13}{5}\end{matrix}\right.\)
Giải các hệ phương trình :
a) \(\left\{{}\begin{matrix}\dfrac{3}{x}+\dfrac{5}{y}=-\dfrac{3}{2}\\\dfrac{5}{x}-\dfrac{2}{y}=\dfrac{8}{3}\end{matrix}\right.\);
b) \(\left\{{}\begin{matrix}\dfrac{2}{x+y-1}-\dfrac{4}{x-y+1}=-\dfrac{14}{5}\\\dfrac{3}{x+y-1}+\dfrac{2}{x-y+1}=-\dfrac{13}{5}\end{matrix}\right.\).
Giải hệ phương trình :
a,\(\left\{{}\begin{matrix}\dfrac{3}{x+1}+\dfrac{1}{y-1}=2\\\dfrac{2}{x+1}-\dfrac{3}{y-1}=5\end{matrix}\right.\)
b,\(\left\{{}\begin{matrix}\dfrac{1}{x+1}-\dfrac{3}{y-1}=1\\\dfrac{2}{x+1}+\dfrac{4}{y-1}=3\end{matrix}\right.\)
