giai phuong trinh \(\sqrt{\frac{x+7}{x+1}}+8=2x^2+\sqrt{2x-1}\)
giai phuong trinh
\(\frac{1}{\sqrt{x}+\sqrt{x+1}}+\frac{1}{\sqrt{x+1}+\sqrt{x+2}}+\frac{1}{\sqrt{x+2}+\sqrt{x+3}}=1\)
2.giai phuong trinh sau:
a.\(\sqrt{\frac{2x-3}{x-1}}=2\)
b.\(\frac{\sqrt{2x-3}}{\sqrt{x-1}}=2\)
Giair phuong trinh
\(\sqrt{x^2-\frac{1}{4}-\sqrt{x^2+x+\frac{1}{4}}}=\frac{1}{2}\left(2x^3+x^2+2x+1\right)\)
giai phuong trinh
\(18x^2-2x-\frac{17}{3}+9\sqrt{x-\frac{1}{3}}=0\)
GIAI PHUONG TRINH:
\(2\left(\sqrt{\frac{x-1}{4}-3}\right)=2\sqrt{\frac{4x-4}{9}}-\frac{1}{3}\)
giai phuong trinh \(\sqrt{x^2+2x}-x-1+\frac{2\left(x-1\right)}{\sqrt{x^2+2x}}=0\) (Nguyễn Du BMT 2017 -2018)
Giai phuong trinh:
\(\sqrt{x+\frac{3}{x}}=\frac{x^2+7}{2\left(x+1\right)}\)
Giai phuong trinh : \(\frac{2+\sqrt{x}}{\sqrt{2}+\sqrt{\sqrt{x}+2}}+\frac{2-\sqrt{x}}{\sqrt{2}-\sqrt{2-\sqrt{x}}}=\sqrt{2}\)