Question

4-5x/2x方+x-6是两个分式m/x+2与n/2x-3相加得到的,求m,n的值

Answer 1

(4-5x)/(x+2)(2x-3)=m/(x+2)+n/(2x-3)

两边乘(x+2)(2x-3)

4-5x=m(2x-3)+n(x+2)

-5x+4=(2m+n)x+(2n-3m)

所以

-5=2m+n

4=2n-3m

所以m=-2

n=-1