ĐK x khác -1
pt <=> \(x^2+\frac{x^2}{\left(x+1\right)^2}-2\cdot\frac{x^2}{x+1}=3-\frac{2x^2}{x+1}\)
<=> \(\left(x-\frac{x}{x+1}\right)^2=3-\frac{2x^2}{x+1}\)
<=> \(\left(\frac{x^2}{x+1}\right)^2+\frac{2x^2}{x+1}-3=0\)
<=> t^2 + 2t - 3 = 0 ( \(t=\frac{x^2}{x+1}\) )
<=> t1 = 1 ; t2 = -3
< =>...................
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:\(\sqrt{\frac{a^2+2x-3}{x-1}}=x+3...\)
Gpt: \(\sqrt{\frac{1-2x}{x}}=\frac{3x+x^2}{x^2+1}\)
gpt \(\sqrt{\frac{x}{3}-3}+\sqrt{7-\frac{x}{3}}=2x-7-\frac{x^2}{9}\)
gpt:
1, \(\sqrt{x^2+x+2}=\frac{x^2+5x+2}{2\left(x+1\right)}\)
2, \(\left(x+1\right)\sqrt{x^2-2x+3}=x^2+1\).
GPT: \(\frac{1}{x+2}-\frac{2x}{x^2-4}=1\)
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 +2x-8/x^2-2x+3=(x+1)( căn x+2 -2)
GPT :
\(x^2+\sqrt[3]{x^4-x^2}=2x+1\)
