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\(8x^2-1=2x\sqrt{2x-3}\\ \Leftrightarrow64x^4-16x^2+1=4x^2\left(2x-3\right)\\ \Leftrightarrow64x^4-16x^2+1=8x^3-12x^2\\ \Leftrightarrow64x^4-8x^3-4x^2+1=0\\ \)
1/ gpt
a/ \(x^2+4x+5=2\sqrt{2x+3}\)
b/ \(2x^2-8x-3\sqrt{x^2-4x-8}=18\)
2/ tìm nghiệm nguyên của pt : \(4y^2=2+\sqrt{199-2x-x^2}\)
gpt:
\(\sqrt{x^3+x^2+3x+3}+\sqrt{2x}=\sqrt{x^2+3}+\sqrt{2x^2+2x}\)
gpt : a) \(\frac{5x}{\sqrt{4-x^2}}+\frac{8}{x^2}+\frac{2x}{4-x^2}+\frac{5\sqrt{4-x^2}}{x}+4=0\)
b) \(\frac{2x}{\sqrt{8x^2+25}}+\frac{125}{x^2}-14=0\)
c) \(\left(x^3-3x+2\right)\sqrt{3x-2}-2x^3+6x^2-4x=0\)
d) \(\sqrt{x^2-x+6}+\frac{4}{x-1}=x^2+x\)
gpt \(\sqrt{2x-1}+\sqrt{1-2x^2}=2\sqrt{x-x^2}\)
Giải phương trình 1, \(x^2+9x+7=\left(2x+1\right)\sqrt{2x^2+4x+5}\)
2, GPT \(\left(2x+7\right)\sqrt{2x+7}=x^2+9x+7\)
3. GHPT \(\left\{{}\begin{matrix}x^2-2y-1=2\sqrt{5y+8}+\sqrt{7x-1}\\\left(x-y\right)\left(x^2+xy+y^2+3\right)=3\left(x^2+y^2\right)+2\end{matrix}\right.\)
Giải phương trình: \(3\sqrt{8x^2+3}-8x=6\sqrt{2x^2-2x+1}-1\)
GPT
\(\sqrt{2x-1}+\sqrt{5-x}=x-2+2\sqrt{-2x^2+11x+5}\)
GPT : \(\sqrt{x^2-3x+2}+\sqrt{x+3}=\sqrt{x-2}+\sqrt{x^2+2x-3}\)
Gpt : \(3x^2-4x-7=2\left(x+3\right)\sqrt{2x-1}\)
