ĐKXĐ:........
\(\Leftrightarrow2x-2\sqrt{5x}+8-4\sqrt{x-1}=0\)
\(\Leftrightarrow x+5-2\sqrt{5x}+x+3-4\sqrt{x-1}=0\)
\(\Leftrightarrow\frac{\left(x+5\right)^2-20x}{x+5+2\sqrt{5x}}+\frac{\left(x+3\right)^2-16\left(x-1\right)}{x+3+4\sqrt{x-1}}=0\)
\(\Leftrightarrow\frac{\left(x-5\right)^2}{x+5+2\sqrt{5x}}+\frac{\left(x-5\right)^2}{x+3+4\sqrt{x-1}}=0\)
\(\Leftrightarrow x=5\)
giải pt:
a) \(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+14}=4-2x-x^2\)
b) \(2x^4+8=4\sqrt{4+x^4}+4\sqrt{x^4-4}\)
Giải pt : \(3x^2+5x+14=5\left(x+1\right)\sqrt{4x-1}\)
Giải Pt
\(\sqrt{x^2+2x+1}+\sqrt{x^2-4x++4}=3x+1\)
Giải pt:
a) \(2x^2-8x-3\sqrt{x^2-4x-5}=12\)
b) \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
giải PT
\(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=3\)
Giải pt: \(\sqrt{x}+\sqrt{x+9}=\sqrt{x+1}+\sqrt{x+4}\)
Giải pt: \(\frac{1}{\sqrt{x+3}+\sqrt{x+2}}+\frac{1}{\sqrt{x+2}+\sqrt{x+1}}+\frac{1}{\sqrt{x+1}+\sqrt{x}}=1\)
Giải pt:
a)\(x+\sqrt{x-1}=13\)
b)\(3\sqrt{x+34}-3\sqrt{x-3}=1\)
c) \(\sqrt{1+x\sqrt{x^2+4}}=x+1\)
d)\(\sqrt{x+3}=5-\sqrt{x-2}\)
giai pt x^2+5x+1=(x+5)\(\sqrt{x^2+1}\)
