2. The equationx+2=sqrt 3x+10is of the form x+a= sqrt bx+c, where a, b, and c are all positive integers and. Using this equation as a model, find a equation that has extraneous solutions.

(a) Using trial and error with numbers for a, b, and c, Find a equation of the formx+a sqrt bx+c, where a, b, and c are all positive integers andb>1such that 7 is a solution. (Hint: Substitute 7 for x, and choose a value for a. Then square both sides so you can choose a, b, and c that will make the equation true.)

(b) Solve the equation you created in Part 2a.

(c) If your solution in Part 2b did not have an extraneous solution, revise your equation so that 7 is one solution and there is an extraneous solution. If your solution in Part 2b did have an extraneous solution, find another equation with different values of a, b, and c that also has 7 as one solution and an extraneous solution.