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6. Consider the following argument: (1) Suppose (2x X 3)1/2 = x. (2) 2x2 2x 3 = x, by squaring both sides of (1). (3)

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6. Consider the following argument: (1) Suppose (2x X 3)1/2 = x. (2) 2x2 2x 3 = x, by squaring both sides of (1). (3) x 2x 3 = 0, by subtracting x from both sides of (2). (4) (x 3) (x + 1) = 0, by factoring the left hand side of the equation in (3). (5) Therefore, x = 3 or x=-1, since if ab = 0, then a = 0 or b = 0. Is each step of the argument correct? Why or why not

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