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Problem set 12 for mat-080 section n, focusing on solving quadratic equations using the quadratic formula and completing the square. It also includes problems on finding the sum of three consecutive integers and the dimensions of a rectangle.
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Provide exact answers. Do not approximate.
(a) x^2 − 3 x + 1 = 0
(b) 3x^2 + 2x + 2 = 0
(a) x^2 − 6 x − 7 = 0
(b) 3x^2 − 2 x + 12 = 0