What is true about the solution of (x^2)/(2x-6)=(9)/(6x-18) x=pm sqrt (3) , and they are actual solutions. x=pm sqrt (3) , but they are extraneous solutions. x=3, and it is an actual solution. x=-3 but it is an extraneous solution.

To determine which statement is true about the solution of the equation , we need to solve the equation step by step.First, let's simplify the equation: We can factor out a common factor of 2 from the denominator of the left side: Next, we can simplify the right side by dividing both the numerator and denominator by 3: Now, we can cross-multiply to eliminate the fractions: Simplifying further, we get: Rearranging the terms, we have: This is a cubic equation, and solving it may require numerical methods or factoring techniques. However, we can observe that x = 3 is a solution by substituting it into the equation: Therefore, x = 3 is an actual solution to the equation.So, the correct statement is: "x=3, and it is an actual solution."