Question

Solve for x:

Answer 1

(4)/(x)+(4)/(x^(2)-9)=(3)/(x-3)

(4)/(x)+(4)/((x-3)(x+3))=(3)/(x-3)

Least common denominator: x(x+3)(x-3)

4x^(2)+4x-36=3x^(2)+9x

x^(2)-5x-36=0

(x+4)(x-9)=0

x+4=0,x-9=0

x=-4,x-9=0

x=-4,x=9

x=-4,9