Solving the Equation 135=w(w+12): What are the Best Methods?

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Homework Help Overview

The discussion revolves around solving the equation 135 = w(w + 12), which is initially presented as a quadratic equation. Participants are exploring methods for solving this equation and clarifying its nature, with some suggesting it may actually be a cubic equation.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the effectiveness of random number substitution for finding solutions and question the validity of the equation's form. There are inquiries about the relationship between quadratic and cubic equations, and whether quadratic methods can be applied to cubic equations.

Discussion Status

The conversation is ongoing, with some participants expressing confusion and seeking clarification on the nature of the equation. There is an acknowledgment of different interpretations regarding the equation's form, and guidance has been offered on considering factors of 135 for potential solutions.

Contextual Notes

Participants are grappling with the accuracy of the equation and its classification, which affects their approach to solving it. There is a sense of urgency from one participant, indicating a struggle with the material and the pressure of homework constraints.

venger
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I have this equation. 135=w(w+12)
Would random plugging in numbers into w effective? If not, please help me out... I know how to get to the answer i just need a better grasp on methods
 
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This is a volume equation from your other post and it is not quite correct yet. Once you get the equation correct, I can help you solve it.
 
venger said:
I have this equation. 135=w(w+12)
Would random plugging in numbers into w effective? If not, please help me out... I know how to get to the answer i just need a better grasp on methods

You mean, you need to solve for w? In that case, do you know how to find the roots of a quadratic equation?
 
here i go...
w^2+12W-135= 0
then blah blah blah quadratic formula.
 
Venger; please don't start another thread, when you were already being helped in your first thread!

Your equation is not correct; it should be a cubic. The method I suggested to you regarding a different cubic equation was not simply "randomly substitute numbers." You make an educated guess as to what the value of w could be (note, it must be a factor of 135) and then see if it solves the equation.
 
Wait a minute this all can be cleared by one question. Is it possible to do a quadratic formula in a cubic equation? I know I am not at my full brain capacity today...
 
venger said:
Wait a minute this all can be cleared by one question. Is it possible to do a quadratic formula in a cubic equation? I know I am not at my full brain capacity today...

Is a cubic equation a quadratic equation?
Thus, can we use the quadratic equation to solve it?

Answer these and the answer to your question will be obvious.

I'm going to leave this to someone else now, since I don't think you're reading my posts; and if you are, you're definitely not thinking about the questions and points I'm posing to you.
 
I've been at this question for 2 hours now... I just don't comprehend. Well here i go if i don't get this right this time I'm dropping calculas.
V=LW^2
135=(w+12)w^2
0=(w^2+12w-135)W
Am i right so far?
 
Check your algebra.
 

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