(Score for Question 2: ____ of 7 points)
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2. The equation x+2= √3x+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.
Answer:
I