Giải PT : \(\sqrt{4x^2+5x-1}-2\sqrt{x^2-x-1}=9x+3\)
Giải pt:
\(x^2-4x+6=\sqrt{2x^2-5x+3}+\sqrt{-3x^2+9x-5}\)
1. Giải pt: \(x+\sqrt{x-1}=3+\sqrt{2\left(x^2-5x+5\right)}\)
2. Giải hpt: \(\left\{{}\begin{matrix}x-2\sqrt{y+1}=3\\x^3-4x^2\sqrt{y+1}-9x-8y=-52-4xy\end{matrix}\right.\)
Giải pt : a) \(8x^2-13x+7=\left(1+\frac{1}{x}\right)\sqrt[3]{3x^2-2}\)
b) \(\sqrt{4x^2+5x+1}-2\sqrt{x^2-x+1}=9x-3\)
c) \(2\sqrt{x+1}+6\sqrt{9-x^2}+6\sqrt{\left(x+1\right)\left(9-x^2\right)}=38+10x-2x^2-x^3\)
Giải các pt sau:
a) \(\sqrt{x+8}+\frac{9x}{\sqrt{x+8}}-6\sqrt{x}=0\)
b) \(x^4-2x^3+\sqrt{2x^3+x^2+2}-2=0\)
c) \(3x\sqrt[3]{x+7}\left(x+\sqrt[3]{x+7}\right)=7x^3+12x^2+5x-6\)
d) \(4x^2+\left(8x-4\right)\sqrt{x}-1=3x+2\sqrt{2x^2+5x-3}\)
e) \(16x^2+19x+7+4\sqrt{-3x^2+5x+2}=\left(8x+2\right)\left(\sqrt{2-x}+2\sqrt{3x+1}\right)\)
f) \(\left(5x+8\right)\sqrt{2x-1}+7x\sqrt{x+3}=9x+8-\left(x+26\right)\sqrt{x-1}\)
g) \(\sqrt[3]{3x+1}+\sqrt[3]{5-x}+\sqrt[3]{2x-9}-\sqrt[3]{4x-3}=0\)
Giải pt
\(2x+3+\sqrt{4x^2+9x+2}=2\sqrt{x+2}+\sqrt{4x+1}\)
Giải PT: \(\sqrt{x^2+2x}+\sqrt{9x-3}=\sqrt{4x^2+13x+3}\)
Giải phương trình:
\(\sqrt{4x^2+5x+1}+3=2\sqrt{x^2-x+1}+9x\)
Giải phương trình \(\sqrt{4x^2+5x+1}-2\sqrt{x^2-1+1}=3-9x\)