Gpt: \(\sqrt{\frac{1-2x}{x}}=\frac{3x+x^2}{x^2+1}\)
gpt \(\sqrt{x^2+3x}+2\sqrt{x+2}=2x+\sqrt{x+\frac{6}{x}}+5\)
Gpt
a) \(x^2+\sqrt{x+5}=5\)
b)\(\sqrt{x-\frac{x}{1}}-\sqrt{1-\frac{1}{x}}=1-\frac{1}{x}\)
c) \(\frac{x^2-x+1}{x^2-2x+1}+\frac{x^2+3x+1}{x^2+4x+1}=\frac{19}{12}\)
d) \(\sqrt{1-2x}+\sqrt{1+2x}=2-x^2\)
GPT: \(\frac{x^2+3x}{x+\sqrt{x^2+3x}}\)+\(\frac{x^2-3x}{x-\sqrt{x^2-3x}}\)=x
gpt. a , \(\frac{4}{x}+\sqrt{x-\frac{1}{x}}=x+\sqrt{2x-\frac{5}{x}}\) b,\(\frac{1}{x}+\frac{1}{\sqrt{2-x^2}}=2\)
gpt : \(x^2-4x+5-\frac{3x}{x^2+x+1}=\left(x-1\right)\left(1-\frac{2\sqrt{1-x}}{\sqrt{x^2+x+1}}\right)\)
Gpt:
\(\sqrt{-x^2+4x+12}-\sqrt{-x^2+2x+3}=\sqrt{3}-x^2\)\(\sqrt{-4x^4y^2+16x^2y+9}-\sqrt{x^2y^2-2y^2}=2\left(x^2+\frac{1}{x^2}\right)\)\(\sqrt{-x^2+3x+4}+\sqrt{-y^2+2y+2}=\sqrt{-x^2+5x+14}\)\(\sqrt{x^2+8}-\sqrt{x^2+3}=\frac{1}{2}\left(3x-1\right)\)gpt:
\(x^4-2x^3+x=\sqrt{(x^2-x).2}\)
\(x(5x^3+2)-2(\sqrt{2x+1}-1)=0\)
\(\sqrt{x+\frac{3}{x}}=\frac{x^2-7}{2x+2}\)
gpt:
\(x^2-3x+1=-\frac{\sqrt{3}}{3}\sqrt{x^4+x^2+1}\)