Are these steps for finding the solutions of correct? (1) is given; (2) x+3 = x2– 6x+9. Obtained by squaring both sides of (1); (3) 0 =x2–7x + 6, obtained by subtracting x + 3 from both sides of (2): (4) 0 = (x - 1)(x – 6). obtained by factoring the right-hand side of (3): (5) x = 1 or x = 6, which follows from (4) because ab= 0 implies that a = 0 or b = 0.
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