Math Problem Statement
x^6+x^3-2=0
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Polynomials
Substitution
Cube Roots
Complex Numbers
Formulas
Quadratic equation formula: y = (-b ± √(b^2 - 4ac)) / 2a
Cube root solutions: x^3 = k, x = k^(1/3) * e^(i 2πn / 3)
Theorems
Quadratic Formula
Properties of Cube Roots
Complex Roots
Suitable Grade Level
Grades 11-12