a, Thay x = -1/2 vào A ta được
\(A=\dfrac{5}{\left(x-1\right)^2}\Rightarrow\dfrac{5}{\left(-\dfrac{1}{2}-1\right)^2}=\dfrac{20}{9}\)
b, Ta có : Với x khác 0 ; 1
\(B=\dfrac{x^2-x^2+1}{x\left(x-1\right)}=\dfrac{1}{x\left(x-1\right)}\)
\(P=A:B=\dfrac{5}{\left(x-1\right)^2}:\dfrac{1}{x\left(x-1\right)}=\dfrac{5x}{x-1}\)
c, \(P=\dfrac{5\left(x-1\right)+5}{x-1}=5+\dfrac{5}{x-1}\Rightarrow x-1\inƯ\left(5\right)=\left\{\pm1;\pm5\right\}\)
x-1 | 1 | -1 | 5 | -5 |
x | 2 | 0(loại) | 6 | -4(loại) |