Question: The equation x x += + 2 3 10 is of the form x a bx c += + , where a, b, and c

The equation x x += + 2 3 10 is of the form x a bx c += + , where a, b, and c are all positive integers and b > 1. Using this equation as a model, create your own equation that has extraneous solutions. (a) Using trial and error with numbers for a, b, and c, create an equation of the form x a bx c += + , where a, b, and c are all positive integers and b > 1 such that 7 is a solution and there is an extraneous 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

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