Question

解数学方程3/X平方-1=2/X+1+1/1-X

Answer 1

① 3/(X^2-1)=2/(X+1)+1/(1-X)

=2/(X+1)-1/(x-1)

=[(2x-2)-(x+1)]/(X^2-1)

=(x-3)/(X^2-1)

x-3=3

∴ x=6

② x/(x+3)=1+2/(x-1)

x/(x+3)-2/(x-1) =1

x^2-x-2x-6=(x+3)(x-1)

x^2-3x-6=x^2+2x-3

5x=-3

∴x=-3/5