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1. Suppose we want to solve the cubic x3+Ax² + Bx + C = 0. To use our algorithm, we make the substitution x = u — A/3 to get a cubic polynomial in u that has no square term. (This is called completing the cube.) We then use our algorithm to solve this cubic by using a circle centered at (a, b). Solve for a and b in terms of A, B and C.

1. Suppose we want to solve the cubic x3+Ax² + Bx + C = 0. To use our algorithm, we make the substitution x = u — A/3 to get a cubic polynomial in u that has no square term. (This is called completing the cube.) We then use our algorithm to solve this cubic by using a circle centered at (a, b). Solve for a and b in terms of A, B and C.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1. Suppose we want to solve the cubic x3+Ax² + Bx + C = 0. To use our algorithm, we make the substitution x = u — A/3 to get a cubic polynomial in u that has no square term. (This is called completing the cube.) We then use our algorithm to solve this cubic by using a circle centered at (a, b). Solve for a and b in terms of A, B and C.
Transcribed Image Text:1. Suppose we want to solve the cubic x3+Ax² + Bx + C = 0. To use our algorithm, we make the substitution x = u — A/3 to get a cubic polynomial in u that has no square term. (This is called completing the cube.) We then use our algorithm to solve this cubic by using a circle centered at (a, b). Solve for a and b in terms of A, B and C.
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