What Methods Identify Nonnegative Ranges in Cubic Equations?

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Homework Help Overview

The discussion revolves around identifying nonnegative ranges in cubic equations, specifically focusing on solving for the variable t within the context of inequalities rather than equations.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the nature of the problem, questioning the distinction between equations and inequalities. There is a suggestion to consider factoring the cubic equation as a method for identifying ranges that yield nonnegative values.

Discussion Status

The discussion is ongoing, with participants awaiting further input from the original poster regarding their attempts at the problem. Some guidance has been provided regarding the nature of the mathematical expression involved.

Contextual Notes

There is a reminder for the original poster to demonstrate their work and clarify the type of mathematical expression they are dealing with, as it has been identified as an inequality.

danielp3
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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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