1.先化简在求值 [2x÷(x-3 )-x÷(x+3)]*(x^-9)÷x,其中x=2的-3次方

问题描述:

1.先化简在求值 [2x÷(x-3 )-x÷(x+3)]*(x^-9)÷x,其中x=2的-3次方
2.8÷(4x^-1)+(2x+3)÷(1-2x)=-1
3.在a取何值时,关于x的方程2÷(x-2)+(ax)÷(x^-4)=3÷(x+2)
4.当K为何值时,能使关于x的方程(x+3)÷(x+2)=K÷(x+2)(x-1)+1的解为正数?

x^2=x*x x^3=x*x*x x^4=x*x*x*x ...
[2x÷(x-3 )-x÷(x+3)]*(x^2-9)÷x
=[2÷(x-3 )-1÷(x+3)]*(x^2-9)
=(2(x+3)-(x-3))/((x-3)(x+3))*x^(2-9)
=(x+9)/(x^2-9)*(x^2-9)
=x+9=1/8-9=71/8
2.8÷(4x^-1)+(2x+3)÷(1-2x)=-1
8÷(4x^2-1)+(2x+3)÷(1-2x)=-1
8÷((2x)^2-1)-(2x+3)÷(2x-1)=-1
8÷((2x-1)(2x+1))-(2x+3)÷(2x-1)=-1
(8-(2x+3)(2x+1)=-(2x-1)(2x+1)
-4x^2-8x+5=-4x^2+1
8x=4
x=1/2
4.当K为何值时,能使关于x的方程(x+3)÷(x+2)=K÷(x+2)(x-1)+1的解为正数?
(x+3)÷(x+2)=K÷(x+2)(x-1)+1
x+3=K÷(x-1)+x+2
1=K÷(x-1)
x-1=k
x=k+1
if k>-1 and k≠0
then x>0