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The solutions to ch. 5, 5.5 worksheet of an advanced algebra textbook. Students are required to complete the square of given equations and simplify radicals. Each exercise is provided with its solution.
Typology: Exercises
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Advanced Algebra Ch. 5 Name_________________
5.5 Worksheet
Solve each equation by completing the square. Simplify all radicals.
2 0 = x โ12x + 1 2.
2 โ 4 = x +14x 3.
2 17 = x + 2x + 15
2 x โ 6x โ 4 = 12 5.
2 0 = x +12x โ 4 6.
2 3 = x + 10x โ 1
2 x โ 4x โ 1 = 11 8.
2 5 = x โ 2x โ 1 9.
2 4 = x โ 8x โ 5
2 0 = 3x โ 6x + 1 11.
2 4x +16x + 3 = 0 12.
2 2x โ12x + 17 = 0
2 0 = โ 2x โ 8x + 1 14.
2 โ3x โ 12x โ 16 = 0
Answers:
x 1 3
x 2 2
x 3 2
x 2 2
2i 3 x 2 3
