Giải pt:
\(x+3\sqrt{1-3\sqrt{x}}=1\)
\(7\sqrt{x+7}+\sqrt{1-x}-3\sqrt{\left(x+7\right)\left(1-x\right)}-4=0\)
Tìm nghiệm của pt :
x+ 4\(\sqrt{7-x}\) = 4\(\sqrt{x-1}\) + \(\sqrt{\left(x-1\right)\left(7-x\right)}\) + 1
Giải hpt sau:
a)\(\left\{{}\begin{matrix}2\left(x^2-2x\right)+\sqrt{y+1}=0\\3\left(x^2-2x\right)-2\sqrt{y+1}+7=0\end{matrix}\right.\)
b)\(\left\{{}\begin{matrix}5\left|x-1\right|-3\left|y+2\right|=7\\2\sqrt{4x^2-8x+4}+5\sqrt{y^2+4y+4}=13\end{matrix}\right.\)
c)\(\left\{{}\begin{matrix}\dfrac{3x}{x+1}-\dfrac{2}{y+4}=4\\\dfrac{2x}{x+1}-\dfrac{5}{y+4}=9\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\dfrac{x+1}{x-1}+\dfrac{3y}{y+2}=7\\\dfrac{2}{x-1}-\dfrac{5}{y+2}=4\end{matrix}\right.\)
Cho hai biểu thức:
A= \(\sqrt{28}-\sqrt{63}+\dfrac{7+\sqrt{7}}{\sqrt{7}}-\sqrt{\left(\sqrt{7}+1\right)}^2\)
B= \(\left(\dfrac{1}{\sqrt{x}+3}+\dfrac{1}{\sqrt{x}-3}\right)\dfrac{4\sqrt{x}+12}{\sqrt{x}}\left(x>0;x\ne9\right)\)
a) Rút gọn A,B
b) Tìm các giá trị của x để A>B?
Help !!!
giải pt:
a) \(4\sqrt{x-2}+\sqrt{9x-18}-\sqrt{\dfrac{x-2}{4}}=26\)
b) \(3x+\sqrt{4x^2-8x+4}=1\)
c) \(\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)=7\)
giúp mk vs ạ mk cần gấp
Giải PT
\(\sqrt{\left(\sqrt{x}-7\right)\left(\sqrt{x}+7\right)=2}\)
\(\sqrt{\frac{1}{4}-2a}=3\)
\(\sqrt{\sqrt{5}-\sqrt{3}x}=\sqrt{8+2\sqrt{15}}\)
\(\sqrt{\frac{-6}{1+x}}=5\)
giải phương trình
\(3\sqrt{2x+1}-6\sqrt{x+4}+\sqrt{\left(2x+1\right)\left(x+4\right)}+7=0\)
Cho biểu thức M=\(\left(\dfrac{x+\sqrt{x}}{x\sqrt{x}+x+\sqrt{x}+1}+\dfrac{1}{x+1}\right):\left(\dfrac{1}{\sqrt{x}-1}-\dfrac{2\sqrt{x}}{x\sqrt{x}-x+\sqrt{x}-1}\right)\)với x≥0,x≠1
a)Rút gọn M
b)Tính M khi x=\(\sqrt{7+4\sqrt{3}}+\sqrt{7-4\sqrt{3}}\)
giải hệ pt
c)\(\left\{{}\begin{matrix}3\sqrt{x-1}+2\sqrt{y}=13\\2\sqrt{x-1}-\sqrt{y}=4\end{matrix}\right.\)
d)\(\left\{{}\begin{matrix}\left(x-1\right)+\left(y+2\right)=2\\4\left(x-1\right)+3\left(y+2\right)=7\end{matrix}\right.\)