What is the Solution for x When \( (4+3x)(6+3x) = 24 \)?

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Homework Help Overview

The discussion revolves around solving the equation \( (4+3x)(6+3x) = 24 \), which is set in the context of algebra and involves polynomial expressions. Participants are exploring methods to find the value of \( x \) that satisfies this equation.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss using graphing calculators to find intersections and explore the nature of the equation as a parabola. There are questions about how to effectively use graphing tools and methods for determining the vertex of the parabola. Some participants suggest algebraic manipulation as an alternative approach to using a calculator.

Discussion Status

The discussion is active, with participants sharing their experiences and methods for approaching the problem. Some guidance has been offered regarding the use of graphing tools and algebraic methods, but there is no explicit consensus on the best approach to take.

Contextual Notes

There are indications of varying levels of familiarity with graphing calculators and algebra among participants, which may affect the discussion. Additionally, some participants express uncertainty about the steps involved in finding the vertex of the parabola.

feod2003
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Graphing calc. died :( i need help

could some 1 but this in a calc and tell me the intersection when y is 24?

(4+3x)(6+3x)=24

thanks :shy:
 
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according to my calculator (just started using it a few days ago), it's a parabola (sp?) and the vertex is about x = -1.7, y = -1. that's just with me using the trace function (i don't know how to get the vertex the normal way). hope this helps.

~Amy
 
physicsgal said:
according to my calculator (just started using it a few days ago), it's a parabola (sp?) and the vertex is about x = -1.7, y = -1. that's just with me using the trace function (i don't know how to get the vertex the normal way). hope this helps.

~Amy

did you put (4+3x)(6+3x) into y1, and 24 into y2, after that make window bigger than 2end trace 5, then you get it.
 
Well, you obviously are sitting at a computer if you can post on PF that your graphing calculator died. Quiz question -- what application on your PC can be used for graphing? Hint -- it rhymes with Extra Large.
 
hm..sounds like Extra Large...Maple 8!
 
feod2003 said:
could some 1 but this in a calc and tell me the intersection when y is 24?

(4+3x)(6+3x)=24

thanks :shy:

Why would you need a calculator of any kind to do that? Multiply it out: 9x2+ 30x+ 24= 24 so 9x2+ 30x= 0. That's easy to factor and solve.
 

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