Các câu hỏi tương tự
\(y=1-\frac{\sqrt{x}}{\sqrt{x+}1}:\frac{2+\sqrt{x}}{x-5\sqrt{x+6}}+\frac{3+\sqrt{x}}{\sqrt{x-2}}-\frac{2+\sqrt{x}}{\sqrt{x-3}}\)
Giải pt :\(\frac{\sqrt{x-2009}-1}{x-2009}+\frac{\sqrt{y-2010}-1}{y-2010}+\frac{\sqrt{z-2011}-1}{z-2011}=\frac{3}{4}\)
7 tháng 7 2018 lúc 20:42
giải các phương trình:
\(x^2-\sqrt{1}-x=\sqrt{x-2}+3\)
\(\sqrt{3-x}+x=\sqrt{3-x}+1\)
\(x+\sqrt{x-2}-\sqrt{2-x}+2\)
\(\frac{x^2}{\sqrt{x}-1}=\frac{9}{\sqrt{x-1}}\)
x+y4Rightarrowfrac{x+y}{2}2Rightarrowsqrt{frac{x+y}{2}}sqrt{2}P.sqrt{frac{x+y}{2}}sqrt{2}sqrt{x^2+frac{1}{x^2}}+sqrt{2}sqrt{x^2+frac{1}{x^2}}Leftrightarrowsqrt{2}Psqrt{1+1}sqrt{x^2+frac{1}{x^2}}+sqrt{1+1}sqrt{x^2+frac{1}{x^2}}Leftrightarrowsqrt{2}Pge x+frac{1}{x}+y+frac{1}{y}x+frac{1}{x}left(frac{1}{x}+4xright)-3xge4-3xy+frac{1}{y}left(frac{1}{y}+4yright)-3yge4-3yRightarrowsqrt{2}Pge8-3left(x+yright)8-3.4-4đến đay sau răng
Đọc tiếp
\(x+y=4\Rightarrow\frac{x+y}{2}=2\Rightarrow\sqrt{\frac{x+y}{2}}=\sqrt{2}\)
\(P.\sqrt{\frac{x+y}{2}}=\sqrt{2}\sqrt{x^2+\frac{1}{x^2}}+\sqrt{2}\sqrt{x^2+\frac{1}{x^2}}\)
\(\Leftrightarrow\sqrt{2}P=\sqrt{1+1}\sqrt{x^2+\frac{1}{x^2}}+\sqrt{1+1}\sqrt{x^2+\frac{1}{x^2}}\)
\(\Leftrightarrow\sqrt{2}P\ge x+\frac{1}{x}+y+\frac{1}{y}\)
\(x+\frac{1}{x}=\left(\frac{1}{x}+4x\right)-3x\ge4-3x\)
\(y+\frac{1}{y}=\left(\frac{1}{y}+4y\right)-3y\ge4-3y\)
\(\Rightarrow\sqrt{2}P\ge8-3\left(x+y\right)=8-3.4=-4\)
đến đay sau răng
Giải phương trình bậc nhất 1 ẩn sau đây:
\(\frac{2+\sqrt{3}}{3-\sqrt{5}}x-\frac{1-\sqrt{6}}{3+\sqrt{2}}\left(x-\frac{3-\sqrt{7}}{4-\sqrt{3}}\right)=\frac{15-\sqrt{11}}{2\sqrt{3}-5}\)
Rút gọn: P= \(\left(\frac{1}{1-\sqrt{2}}-\frac{1}{\sqrt{x}}\right):\left(\frac{2x+\sqrt{x}-1}{1-x}+\frac{2x\sqrt{x}+x-\sqrt{x}}{1+x\sqrt{x}}\right)\)
tính \(\frac{1}{\sqrt{x}+\sqrt{x-1}}-\frac{1}{\sqrt{x}-\sqrt{x-1}}-\frac{\sqrt{x^3}-x}{1-\sqrt{x}}\)
Rút gọn:
\(A=\left(\frac{2+\sqrt{x}}{x-5\sqrt{x}+6}-\frac{\sqrt{x}+3}{2-\sqrt{x}}-\frac{\sqrt{x}+2}{\sqrt{x}-3}\right):\left(2-\frac{\sqrt{x}}{1+\sqrt{x}}\right)\)
Cho \(A=\left(\frac{\sqrt{x}-1}{3\sqrt{x}-1}-\frac{1}{3\sqrt{x}+1}+\frac{8\sqrt{x}}{9x-1}\right):\left(1-\frac{3\sqrt{x}-2}{3\sqrt{x}+1}\right)\)
Với \(x\ge0,x\ne\frac{1}{9}\)
a, Rút gọn A
b,Tìm x để A<1