1: Khi x=16 thì \(A=\dfrac{1-4}{1+4}=\dfrac{-3}{5}\)
2: \(B=\dfrac{6-\sqrt{x}+2\sqrt{x}-4}{x-4}\cdot\dfrac{\sqrt{x}-2}{\sqrt{x}+1}\)
\(=\dfrac{1}{\sqrt{x}+1}\)
2: \(B\cdot\left(1+\sqrt{x}\right)+x-\sqrt{x}-m=0\)
=>\(x-\sqrt{x}+1-m=0\)
Đặt căn x=a(a>=0)
=>a^2-a-m+1=0(1)
Δ=(-1)^2-4*1*(-m+1)=1+4m-4=4m-3
Để phương trình (1) có nghiệm thì:
\(\left\{{}\begin{matrix}4m-3>=0\\\left[{}\begin{matrix}-m+1>=0\\-m+1< =0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}m>=\dfrac{3}{4}\\m< =1\end{matrix}\right.\)