Violympic toán 9
Các câu hỏi tương tự
Giải PT: \(\dfrac{2+\sqrt{x}}{\sqrt{2}+\sqrt{2+\sqrt{x}}}+\dfrac{2-\sqrt{x}}{\sqrt{2}-\sqrt{2-\sqrt{x}}}=\sqrt{2}\)
giải pt sau
\(\left(\dfrac{\sqrt{x}-1}{x-2\sqrt{x}+1}-\dfrac{2}{\sqrt{x}}\right):\dfrac{2-\sqrt{x}}{x-1}\)
giải pt :
a) \(\sqrt{x-1}+\sqrt{x^3+x^2+x+1}=1+\sqrt{x^4-1}\)
b0 \(4\sqrt{x+1}=x^2-5x+14\)
c) \(2x+3\sqrt{4-5x}+\sqrt{x+2}=8\)
d) \(\dfrac{x^2+x}{\sqrt{x^2+x+1}}=\dfrac{2-x}{\sqrt{x-1}}\)
Giải PT: \(\sqrt{x+9}=\sqrt{x}+\dfrac{2\sqrt{2}}{\sqrt{x}+1}\)
Giải PT:
\(\sqrt{x^2+3x}+2\sqrt{x+2}=2x+\sqrt{x+\dfrac{6}{x}+5}\)
Giải PT: \(\sqrt{x^2+3x}+2\sqrt{x+2}=2x+\sqrt{x+\dfrac{6}{x}+5}\)
rút gọn pt sau
\(\left(\dfrac{\sqrt{x}-1}{x-2\sqrt{x}+1}-\dfrac{2}{\sqrt{x}}\right):\dfrac{2-\sqrt{x}}{x-1}\)
Giải PT: \(\sqrt{1-x}+\sqrt{x^2-3x+2}+\left(x-2\right).\sqrt{\dfrac{x-1}{x-2}}=3\)
giải pt vô tỉ sau :
a) \(\sqrt{x+2+2\sqrt{x+1}}\) + \(\sqrt{x+10-6\sqrt{x+1}}\) = 2\(\sqrt{x+2-2\sqrt{x+1}}\)
b) x + \(\sqrt{x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}}\)= 2