1.create an equation that results in at least one extraneous solution. work through your equation, justify each step, and explain how the solution is extraneous.

Extraneous solutions are roots of the polynomial which when substituted to the expression, the expression is invalid or not true. One example is x - 6 =. We square both sides, x^2 - 12x +  36 = x.  x^2 - 13x +  36 = 0. This is equal to (x-4)*(x-9) = 0. The roots are 9 and 4. The extraneous solution is 4 since when we substitute 4 to the original expression, there is no equality. 

The answer is