Solve the equation. Check the solution. Use a graphing calculator.

Question

5/x+2 + 1/x-2 =6

There is (are)
a solution
no solution
infinitely many solutions

The solution is:

Answer 1

x = 3

Checking the solution:

5/(3)+2 + 1/(3)-2 = 6
5/3 + 1/1 = 6
15/3 + 3/3 = 6
18/3 = 6
6 = 6

The solution x = 3 satisfies the equation.

Using a graphing calculator to confirm:
- Plot y = 5/x+2 + 1/x-2 and y = 6 on the same graph
- The graphs intersect at x = 3, confirming that x = 3 is the solution to the equation.