Giai phuong trinh \(\sqrt{x^3+15}+2=\sqrt{x^3+8}+3x\)
giai phuong trinh \(\sqrt{2x+1}-\sqrt{3x}=x-1\)
giai phuong trinh \(\sqrt{x^2-2x+1}+\sqrt{x^2-4x+4}=\sqrt{1+2005^2+\dfrac{2005^2}{2006^2}}+\dfrac{2005}{2006}\)
giai phuong trinh \(x^2-5x+4=2\sqrt{2x-4}\)
giai he phuong trinh \(\left\{{}\begin{matrix}\dfrac{4}{x+y-1}-\dfrac{5}{2x-y+1}=\dfrac{5}{2}\\\dfrac{3}{x+y-1}-\dfrac{1}{2x-y+3}=\dfrac{7}{5}\end{matrix}\right.\)
cho phuong trinh:\(\dfrac{2+\sqrt{x}}{\sqrt{2}+\sqrt{2+\sqrt{x}}}+\dfrac{2-\sqrt{x}}{\sqrt{2}-\sqrt{2-\sqrt{x}}}=\sqrt{2}\)
a/tim dieu kien cua x de phuong trinh co nghia
b/giai phuong trinh
giai he phuong trinh\(\left\{{}\begin{matrix}x^3+y^3=1\\x^5+y^5=x^2+y^2\end{matrix}\right.\)
Giai phuong trinh:
\(x^4+\sqrt{x^2+3}=3\)
giai phuong trinh
\(2\sqrt[3]{\left(x+2\right)^2}-\sqrt[3]{\left(x-2\right)^2}=\sqrt[3]{x^2-4}\)
