Các câu hỏi tương tự
giải pt \(\sqrt{2x+\frac{2013x-1}{\sqrt{2-x^2}}}-\sqrt[3]{2014-\frac{2013x-1}{\sqrt{2-x^2}}}=\sqrt{x+2013}-\sqrt[3]{x+1}\)
Giải pt:
\(\sqrt{2x+\frac{2013x-1}{\sqrt{2-x^2}}}-\sqrt[3]{2014-\frac{2013x-1}{\sqrt{2-x^2}}}=\sqrt{x+2013}-\sqrt[3]{x+1}\)
Giải pt
\(\sqrt{2x+\frac{2013x-1}{\sqrt{2-x^2}}}-\sqrt[3]{2014-\frac{2013x-1}{\sqrt{2-x^2}}}=\sqrt{x+2013}-\sqrt[3]{x+1}\)
Giải pt
\(\sqrt{2x+\frac{2013x-1}{\sqrt{2-x^2}}}-\sqrt[3]{2014-\frac{2013x-1}{\sqrt{2-x^2}}}=\sqrt{x+2013}-\sqrt[3]{x+1}\)
giải pt \(\sqrt{2x+\frac{2013x-1}{\sqrt{2-x^2}}}-\sqrt[3]{2014-\frac{2013x-1}{\sqrt{2-x^2}}}=\sqrt{x+2003}-\sqrt[3]{x+1}\)
Bài 1 :
Tìm x biết x = \(\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+...}}}}\)
Bài 2 : Tính
\(\sqrt{1+\frac{1}{2^2}+\frac{1}{3^2}}+\sqrt{1+\frac{1}{3^2}+\frac{1}{4^2}}+...+\sqrt{1+\frac{1}{2013^2}+\frac{1}{2014^2}}\)
Nghiệm nhỏ nhất của pt\(\frac{1}{2\sqrt{x}-2014}+\frac{1}{3\sqrt{x}+2013}=\frac{1}{2015-4\sqrt{x}}+\frac{1}{9\sqrt{x}-2016}\)
giai pt : a) \(\sqrt{\frac{2x+2}{x+2}}-\frac{\sqrt{x+2}}{\sqrt{2x+2}}=\frac{7}{12}\)
b) \(\frac{\sqrt{x-2012}-1}{x-2012}+\frac{\sqrt{y-2013}-1}{y-2013}+\frac{\sqrt{z-2014}-1}{z-2014}=\frac{3}{4}\)
c) \(3x^2+21x+18+2\sqrt{x^2+7x+7}\)= 2
cho x=\(\frac{2}{\frac{1}{\sqrt{\sqrt{2}+1}-1}-\frac{1}{\sqrt{\sqrt{2}+1}+1}}\)Tính A=\(\left(x^4-x^3-x^2+2x-1\right)^{2013}\)