Math Problem Statement
Find all exact (unrounded, not decimal approximations) complex (real & imaginary) solutions to the equation 8x4 – 12x3 + 10x2 - 3x + 2 = 0. (Hint: one root is (1/2)i )
Solution
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Math Problem Analysis
Mathematical Concepts
Polynomial Equations
Complex Numbers
Conjugate Root Theorem
Quadratic Equations
Polynomial Division
Formulas
Quadratic formula x = (-b ± √(b² - 4ac)) / 2a
Theorems
Conjugate Root Theorem
Suitable Grade Level
Grades 11-12
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