## 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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