SUMMARY
The equation 18x² + 3x - 1 = 0 has two complex roots. The quadratic formula is the recommended method for solving this equation, as factoring proves ineffective. The polynomial can be factored as (6x - 1)(3x + 1), confirming the roots are real rather than complex. The discussion highlights a common misunderstanding regarding the terminology of "complex roots" in relation to this specific problem.
PREREQUISITES
- Understanding of the quadratic formula
- Knowledge of polynomial factoring techniques
- Familiarity with real and complex numbers
- Basic algebra skills
NEXT STEPS
- Study the quadratic formula in depth, including its derivation and applications
- Practice factoring polynomials with varying degrees of complexity
- Explore the differences between real and complex roots in polynomial equations
- Learn about the discriminant and its role in determining the nature of roots
USEFUL FOR
Students studying algebra, mathematics educators, and anyone seeking to clarify concepts related to polynomial equations and root identification.