What Methods Identify Nonnegative Ranges in Cubic Equations?

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SUMMARY

The discussion centers on identifying nonnegative ranges in cubic equations, specifically focusing on the distinction between equations and inequalities. Participants emphasize the importance of factoring cubic equations to facilitate root finding, which is essential for determining the values of 't' that yield nonnegative outputs. The conversation highlights the need for a clear understanding of the mathematical principles involved in solving cubic inequalities.

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Poster has been reminded to post schoolwor-type questions in the Homework Help forums, and to show some work on the problem
Summary: Cubic equation

How to solve for t ?

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danielp3 said:
( Poster has been reminded to post school work-type questions in the Homework Help forums, and to show some work on the problem. )
Summary: Cubic equation

How to solve for t ?

View attachment 252728
While we wait for you to show some effort at solving this problem, let me make a point.
That is not an equation. That's an inequality.
 
Following on the last hint, suppose the cubic were factored, equivalent to root finding. How would you tell what ranges of t then produced nonnegative values?
 
Last edited:

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