\(DK:x\ge-3\)
\(\sqrt{2x-1}+\sqrt{x}+\sqrt{x+3}=4\Leftrightarrow\sqrt{x}+\sqrt{x+3}=4-\sqrt{2x-1}\Rightarrow\left(\sqrt{x}+\sqrt{x+3}\right)^2=\left(4-\sqrt{2x-1}\right)^2\Leftrightarrow2x+3+2\sqrt{x^2+3x}=2x+3-8\sqrt{2x-1}\Leftrightarrow2\sqrt{x^2+3x}=-8\sqrt{2x-1}\Rightarrow\left\{{}\begin{matrix}x^2+3x=0\\2x-1=0\end{matrix}\right.hptvn\)
\(\sqrt{\dfrac{x+2}{4}}+\sqrt{25x+50}-2\sqrt{x+2}=14\) ; \(\sqrt{2x+3}=x\) ; \(\sqrt{25x^2+20x+4}=1\) ; \(\sqrt{\dfrac{x+1}{2x-1}}=2\) ; \(\dfrac{\sqrt{x-2}}{\sqrt{3x+1}}=6\)
Tìm x
tìm x:
\(\sqrt{x^2+x+1}=1\)
\(\sqrt{x^2+1}=-3\)
\(\sqrt{x^2-10x+25}=7-2x\)
\(\sqrt{2x+5}=5\)
\(\sqrt{x^2-4x+4}-2x+5=0\)
giải các pt
1, \(\sqrt{2x^2+8x+6}+\sqrt{x^2-1}=2x+2\)
2, \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-2\sqrt{x-1}}=2\)
3, \(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)
4, \(2x^2+\sqrt{x^2-4x+12}=4x+8\)
5, \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
Giải các pt sau:
1, \(\sqrt{x^2+x+1}=2x+\sqrt{x^2-x+1}\)
2, \(2x^2+2x+6=2x\sqrt{x^2-x+1}+4\sqrt{3x+1}\)
3, \(\left(\sqrt{x+3}-\sqrt{x}\right)\left(1+\sqrt{x^2+3x}\right)=3\)
4, \(\sqrt{2x^2-1}+\sqrt{x^2-3x-2}=\sqrt{2x^2-2x+3}+\sqrt{x^2-x+2}\)
5, \(13\sqrt{x-1}+9\sqrt{x+1}=16x\)
Tìm x bt:
\(\sqrt{x^2+2x+1}\) = -x
Rút gọn:
a, \(\sqrt{\left(4-\sqrt{17}\right)}^2\) - \(\sqrt{17}\)
b, \(\sqrt{\left(5-2\sqrt{3}\right)^2}\) - \(2\sqrt{3}\)
Giải phương trình :
a,\(\sqrt{x-2-2\sqrt{x-3}}-\sqrt{x+1-4\sqrt{x-3}}=2\)
b,\(\sqrt{2x-1+2\sqrt{x^2-x}}+\sqrt{2x-1-2\sqrt{x^2-x}}=5\) với \(x\frac{>}{ }1\)
c,\(\sqrt{x+6-4\sqrt{x+2}}+\sqrt{x+11-6\sqrt{x+2}}=1\)
\(\sqrt{x+1}+\sqrt{x+10}=\sqrt{x+2}+\sqrt{x+5}\)
\(\sqrt{x^2-2x+1}+\sqrt{x^2+4x+4}=2\)
\(x+4\sqrt{x+3}+2\sqrt{3-2x}+2=\sqrt{x+1}\)
\(4\sqrt{x+1}=x^2-5x+14\)
giúp mình nha :>>>
Giải các phương trình:
1) \(\sqrt{2x+5}=\sqrt{1-x}\)
2) \(\sqrt{2x-1}=\sqrt{x-1}\)
3) \(\sqrt{2x^2-3}=\sqrt{4x-3}\)
4) \(\sqrt{x^2-x}=\sqrt{3-x}\)
5) \(\sqrt{x^2-x}=\sqrt{3x-5}\)
6) \(\sqrt{x^2-x-6}=\sqrt{x-3}\)
GIẢI PHƯƠNG TRÌNH
1. \(16x-13\sqrt{x-1}=9\sqrt{x+1}.\)
2. \(x^2-1=2x\sqrt{x^2-2x}\)
3. \(\left(x+3\right).\sqrt{\left(4-x\right)\left(12+x\right)}=28-x\)
4. \(x+4\sqrt{x+3}+2\sqrt{3-2x}=11\)
giải phương trình
1)\(\sqrt{2x+5}+\sqrt{x-1}=8\)
2)\(\sqrt{1-x}+\sqrt{4+x}=3\)
