\(ĐK:x\ge4\)
\(PT\Leftrightarrow\sqrt{x+3}=1+\sqrt{x-4}\)
\(\Leftrightarrow x+3=x-3+2\sqrt{x-4}\)
\(\Leftrightarrow3=\sqrt{x-4}\)
\(\Leftrightarrow x-4=9\Leftrightarrow x=13\left(tm\right)\)
Giải PT: \(\sqrt{x-1}+\sqrt{x+3}+2\sqrt{\left(x-1\right)\left(x^2-3x+5\right)}=4-2x\)
Giải pt:
a,\(\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
b,\(\sqrt{x-3+4\sqrt{x+1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
Giải PT: \(x^3-x^2-x=\dfrac{1}{3}\)
Giải PT: \(\dfrac{36}{\sqrt{x-2}}+\dfrac{4}{\sqrt{y-1}}=28-4\sqrt{x-2}-\sqrt{y-1}\)
1.Giải pt:
a)\(\sqrt{3x^2+6x+7}+\sqrt{5x^2+10x+4}=4-2x-x^2\)
b)\(x^2+\left(3-\sqrt{x^2+2}\right)x=1+2\sqrt{x^2+2}\)
c)\(\left(x+1\right)\sqrt{x^2-2x+3}=x^2+1\)
d)
Bài 1: Giải các PT sau:
a) \(|3x+1|=|x+1|\)
b) \(|x^2-3|=|x-\sqrt{3}|\)
c) \(\sqrt{9x^2-12x+4}=\sqrt{x^2}\)
Giải PT
a,\(\sqrt{3}x^2-\sqrt{12}=0\) b,\(\sqrt[3]{x+1}=2\)
c,\(\sqrt{4\left(1-x\right)^2}-6=0\) d,\(\sqrt[3]{3-2x}=2\)
Giải các pt sau:
1) \(\sqrt{x+3}+2x\sqrt{x+1}=2x+\sqrt{x^2+4x+3}\)
2) \(2\sqrt{x+3}=9x^2-x-4\)
3) \(1+\dfrac{2}{3}\sqrt{x-x^2}=\sqrt{x}+\sqrt{1-x}\)
4) \(\sqrt{x+3-4\sqrt{x-1}}+\sqrt{x+8-6\sqrt{x-1}}=1\)
5) \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=\dfrac{x+3}{2}\)
Giải pt:
\(\sqrt{x^2-x}=\sqrt{3-x}\)
