\(\sqrt{x-1}+\sqrt{2x-1}=5\)
\(\Leftrightarrow\left(\sqrt{x-1}-2\right)+\left(\sqrt{2x-1}-3\right)=0\)
\(\Leftrightarrow\dfrac{x-1-4}{\sqrt{x-1}+2}+\dfrac{2x-1-9}{\sqrt{2x-1}+3}=0\)
\(\Leftrightarrow\dfrac{x-5}{\sqrt{x-1}+2}+\dfrac{2\left(x-5\right)}{\sqrt{2x-1}+3}=0\)
\(\Leftrightarrow\left(\dfrac{1}{\sqrt{x-1}+2}+\dfrac{2}{\sqrt{2x-1}+3}\right)\left(x-5\right)=0\)
\(\Rightarrow x=5\)
Giải pt:
a) \(\sqrt{2x^2-3}\)=\(\sqrt{4x-3}\)
b) \(\sqrt{2x-1}\)=\(\sqrt{x-1}\)
c) \(\sqrt{x^2-x-6}\)=\(\sqrt{x-3}\)
d) \(\sqrt{x^2-x}\)=\(\sqrt{3x-5}\)
Giúp em với, anh thịnh giúp em xíu á
\(\sqrt{2x-1}-2\sqrt{x-1}=-1\) giải pt giúp mik nha
Giải pt
a.\(x+\sqrt{x+\dfrac{1}{2}+\sqrt{X+\dfrac{1}{4}}}=4\)
b.\(\sqrt{2x+4-6\sqrt{2x-5}}+\sqrt{2x-4+2\sqrt{2x-5}}=4\)
giải pt sau
1, \(\sqrt{5-2x}=6\)
2,\(\sqrt{2-x}-\sqrt{x+1}=0\)
3, \(\sqrt{4x^2+4x+1}=6\)
4,\(\sqrt{x^2-10x+25}=x-2\)
\(2x+\sqrt{x+\sqrt{x-\dfrac{1}{4}}}=2\) giải pt giúp mik nha
giải pt \(\dfrac{1}{\sqrt{2x-1}}+\dfrac{1}{\sqrt{2x+1}}=\dfrac{1}{\sqrt{x+1}}+\dfrac{1}{\sqrt{3x-1}}\)
Giải pt:
\(x^2+4\sqrt{x-1}=2-x\)
Giúp mình nhanh nkaaa.
\(\sqrt{2x+9}=\sqrt{4-x}+\sqrt{3x+1}\) giải pt
Giải pt:
a, (\(\sqrt{x-1}\)+1)(5-x)=2x
b, (1+\(x\sqrt{x^2+1}\))(\(\sqrt{x^2+1}\)-x)=1
c, \(\sqrt{2x^2+x+9}+\sqrt{2x^2-x+1}=x+4\)
