ĐKXĐ: \(x\ge9\)
\(\Leftrightarrow\sqrt{x}+\sqrt{x-9}=\sqrt{x-1}+\sqrt{x-4}\)
\(\Leftrightarrow2x-9+2\sqrt{x^2-9x}=2x-5+2\sqrt{x^2-4x+3}\)
\(\Leftrightarrow\sqrt{x^2-9x}=2+\sqrt{x^2-4x+3}\)
Do \(x\ge9>0\Rightarrow x^2-4x>x^2-9x\Rightarrow x^2-4x+3>x^2-9x\)
\(\Rightarrow\sqrt{x^2-4x+3}+2>\sqrt{x^2-9x}\)
Pt vô nghiệm
Giải các PT sau: \(\sqrt{x+6-4\sqrt{x+2}}-\sqrt{9-4\sqrt{5}}=0\)
Giải PT: \(\sqrt{x+9}=\sqrt{x}+\dfrac{2\sqrt{2}}{\sqrt{x}+1}\)
Giải pt:
a. \(x-\sqrt{x^4-2x^2+1}=1\)
b. \(\sqrt{x^2+4x+4}+|x-4|=0\)
c. \(\sqrt{x-2}+\sqrt{x-3}=-5\)
d. \(\sqrt{x^2-2x+1}+\sqrt{x^2-6x+9}=1\)
e. \(\sqrt{x+5}+\sqrt{2-x}=x^2-25\)
g.\(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
h. \(\sqrt{8x+1}+\sqrt{3x-5}=\sqrt{7x+4}+\sqrt{2x-2}\)
Giải pt:
\(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
Em cảm ơn ạ.
Giải PT: \(x^2-2x-x\sqrt{x}-2\sqrt{x}+4=0\)
giải pt : x - \(4\sqrt{x}+\frac{1}{x}-\frac{4}{\sqrt{x}}+5=0\)
giải pt: a) \(\sqrt{x+1}+\sqrt{5x}=\sqrt{4x-3}+\sqrt{2x+4}\)
b) \(\left(x-1\right)\left(x+2\right)+2\sqrt[]{x^2+x+1}=0\)
Giải pt
a )\(\sqrt{\dfrac{x-1}{4}}-3=\sqrt{\dfrac{4x-4}{9}}\)
b) \(\sqrt{x^2-4x+4}+\sqrt{x^2+6x+9}=x-3\)
c) \(\sqrt{\dfrac{2x-3}{x-1}}=2\)
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) \(\dfrac{x^2+x}{\sqrt{x^2+x+1}}=\dfrac{2-x}{\sqrt{x-1}}\)
