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Basic Math/exact roots

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Expert: Josh - 7/27/2005


Question
find the exact root of x^3+x-1=f(x)
do not want the answer that the calculator gives-
x=.6823278

Answer
You solve for u^3+su+t=0,
where w = cube_root_of {-(t/2)ħsqrt[(t^2/4)+(s^3/27)]}
v = cube_root_of {(t/2)ħ(-1)sqrt[(t^2/4)+(s^3/27)]}

Please refer to Q8 in my question archive for further explanation. The website is http://www.geocities.com/joshcameron_ae/

Cheers.

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Josh

Expertise

When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.

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I have worked as a teaching assistant in college. My hope is that more people will share knowledge without boundary, give help without seeking recognition or monetary rewards.

Education/Credentials
Bachelor degree in Engineering Science

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