Gpt:
\(\sqrt{x-1}+\sqrt{x^3+x^2+x+1}=\sqrt{x^4-1}+1\)
gpt:
\(\sqrt[3]{x-4}+\sqrt{x+4}=4\)
GPT \(x^2+3x-\frac{7}{4}=2\sqrt{2x-3}\)
gpt:
\(2\sqrt{x}+\sqrt{x+3}=\dfrac{2}{\sqrt{x}}+x\sqrt{x+3}.\)
GPT : \(x\sqrt{x+1}+\left(x+5\right)\sqrt{x+6}=x^2+5x+6\) ( x = 3 )
( Dùng ẩn phụ hoặc liên hợp )
GPT: x4 - 6x + 1 = 2(x + 4)\(\sqrt{2x^3+8x^2+6x+1}\)
GPT :\(7\sqrt{x}-2x+13=0\)
GPT
\(2x^2+x+\sqrt{x^2+3}+2x\sqrt{x^2+3}\)
Rút gọn biểu thức:
a) \(A=\sqrt{7-4\sqrt{3}}-\sqrt{7+4\sqrt{3}}\)
b) \(B=\left(\frac{\sqrt{x}+1}{x-4}-\frac{\sqrt{x}-1}{x+4\sqrt{x}+4}\right).\frac{x\sqrt{x}+2x-4\sqrt{x}-8}{\sqrt{x}}\) với \(x>0,x\ne4\)