giải các PT sau :
a) \(\left|2x+3\right|-\left|x\right|+\left|x-1\right|=2x+4\)
b) \(\sqrt{x}-\dfrac{4}{\sqrt{x+2}}+\sqrt{x+2}=0\)
c) \(\sqrt{x+\sqrt{2x-1}}+\sqrt{x-\sqrt{2x-1}}=\sqrt{2}\)
d) \(x+\sqrt{x+\dfrac{1}{2}+\sqrt{x+\dfrac{1}{4}}}=4\)
e) \(\sqrt{4x+3}+\sqrt{2x+1}=6x+\sqrt{8x^2+10x+3}-16\)
f)\(\sqrt[3]{x-2}+\sqrt{x+1}=3\)
GIÚP MÌNH VỚI MÌNH ĐANG CẦN GẤP
Giải pt
\(11\sqrt{4-x}-26=-7x+2\sqrt{1+x}+\sqrt{4+3x-x^2}\)
giải pt:
a. \(\sqrt{x-2}+\sqrt{10-x}=x^2-12x+40\)
b. \(\sqrt{3x-5}+\sqrt{7-3x}=5x^2-20x+22\)
c. \(\sqrt{x^2-4x+4}+\sqrt{x^2-6x+9}=1\)
giải pt
a) \(2\sqrt{x+2+2\sqrt{x+1}}-\sqrt{x+1}=4\)
b) \(\sqrt{x-2\sqrt{x-1}}+\sqrt{x+3-4\sqrt{x-1}}=1\)
c) \(\sqrt{x+2\sqrt{x-1}}-\sqrt{x-2\sqrt{x-1}}=2\)
d) \(\sqrt{\frac{5}{4}-x^2+\sqrt{1-x^2}}+\sqrt{\frac{5}{4}-x^2-\sqrt{1-x^2}}=x+1\)
giải pt \(\sqrt{x-2}+\sqrt{4-x}+\sqrt{2x-5}=2x^2-5x\)
2) \(x^2+x+2=\sqrt{5x+5}+\sqrt{3x+2}\)
a) Giải pt: \(x+2\sqrt{7-x}=2\sqrt{x-1}+\sqrt{-x^2+8x-7}+1\)
b)Giải hệ pt \(\left\{{}\begin{matrix}xy-y^2+2y-x-1=\sqrt{y-1}-\sqrt{x}\\3\sqrt{6-y}+3\sqrt{2x+3y-7}=2x+7\end{matrix}\right.\)
Giải pt
\(\sqrt{x-2}+\sqrt{4-x}=2x^2-5x-1\)
Giải pt
1, \(\sqrt[4]{5-x}+\sqrt[4]{x-1}=\sqrt{2}\)
2. \(\sqrt[3]{\left(2-x\right)^2}+\sqrt[3]{\left(7+x\right)^2}-\sqrt[3]{\left(7+x\right)\left(2-x\right)}=3\)
Giải pt sau :
1, \(\sqrt{x+1}+\sqrt{4-x}+\sqrt{\left(x+1\right)\left(4-x\right)}=5\)
2, \(\sqrt{x+4}+\sqrt{x-4}=2x-12+2\sqrt{x^2-16}\)
3, \(\sqrt{x+\sqrt{6x-9}}+\sqrt{x-\sqrt{6x-9}}=\sqrt{6}\)
4, \(\frac{4}{x+\sqrt{x^2+x}}-\frac{1}{x-\sqrt{x^2+x}}=\frac{3}{x}\)
5, \(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)