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#1 2017-12-01 19:00:47

sam4211
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Registered: 2017-12-01
Posts: 1

Cubic Equation Solve for Infelction Point

Let f (x) =x^3+bx^2+c. Find all the values of b and c such that f has an inflection point and then determine its location.

Can anyone help me solve this equation, as required?

Last edited by sam4211 (2017-12-01 19:01:42)

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#2 2017-12-01 19:49:43

Alg Num Theory
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Registered: 2017-11-24
Posts: 299
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Re: Cubic Equation Solve for Infelction Point

Solve

This is a linear equation involving b only and so should be solvable for all values of b. The cubic function itself should also have inflection points for all values of the constant c since this only determines the height of the curve relative to the x-axis, not its shape.

Last edited by Alg Num Theory (2017-12-01 23:49:46)

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