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UrbanXrisis
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I need to find when 2x^3+x-5 is equal to zero and I'm stuck
2x^3+x-5=0
5=2x^3+x...then what?
2x^3+x-5=0
5=2x^3+x...then what?
Find when 2x^3+x-5 is equal to zero
- Thread starter UrbanXrisis
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SUMMARY
The discussion focuses on solving the polynomial equation 2x³ + x - 5 = 0. It is established that there are no rational solutions to this equation, as confirmed by Hurkyl's method, indicating that it cannot be factored with integer coefficients. The cubic formula is mentioned as a potential solution, but it is noted to be complex and cumbersome. The recommended approach for finding the roots is to use numerical methods, such as graphing the function and identifying the x-intercept.
PREREQUISITES- Understanding of polynomial equations and their properties
- Familiarity with the Rational Root Theorem
- Knowledge of numerical methods for root finding
- Basic graphing calculator skills
- Study the Rational Root Theorem in detail
- Learn about numerical methods for solving polynomials, such as Newton's method
- Explore the cubic formula and its application in solving cubic equations
- Practice graphing polynomial functions to identify roots visually
Students, mathematicians, and anyone interested in solving polynomial equations, particularly those dealing with cubic functions and numerical methods for root finding.