Solve the rational equation Be sure to check for extraneous

Solve the rational equation. Be sure to check for extraneous solutions. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 5x - 3/x^2 + 3 = 1

Solution

(5x-3)/(x²+3) =1

(5x-3)=x²+3

x²-5x+6=0

(x-2)(x-3)=0

(x-2)=0      ,   (x-3)=0

x=2,x=3