已知x2 3x-2=0,求2x-4╱x2 6x 9÷(x-3)×x2-9╱2x-x2的值
问题描述:
已知x2 3x-2=0,求2x-4╱x2 6x 9÷(x-3)×x2-9╱2x-x2的值
答
x^2+ 3x-2=0,
x(x+3)=2,
∴(2x-4)╱(x^2+ 6x+ 9)÷(x-3)×(x^2-9)╱(2x-x^2)
=2(x-2)/(x+3)^*1/(x-3)*(x+3)(x-3)/[x(2-x)]
=-2/[x(x+3)]
=-1.