Why Does My Quadratic Equation Look Incorrect?

Click For Summary

Homework Help Overview

The discussion revolves around the transformation of a quadratic equation from a factored form into what is referred to as "Stanford form," which appears to be a misunderstanding of the term "standard form." Participants are examining the equation 300 = (x+3)(x+2) and its implications in the context of a problem related to geometry.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to rewrite the equation correctly and are questioning the validity of the terms used, such as "Stanford form." There is also discussion about the correctness of the rewritten equation and its implications for the problem at hand.

Discussion Status

The discussion is ongoing, with some participants providing guidance on the equivalence of the equations and encouraging the original poster to reconsider the assumptions made about the dimensions of the box. There is a recognition of confusion regarding the terminology and the correctness of the transformations being discussed.

Contextual Notes

There is mention of the dimensions of a box in relation to a metal sheet, with specific details about how the width should be defined. This suggests that the problem may involve constraints related to physical dimensions, although the exact parameters are not fully clarified.

SunnyBoy123
New user has been reminded to use the Homework Help Template and show their work in the first post
Ok so what am I doing wrong, when i try to put equation 300 = (x+3)(x+2)(1) into Stanford form I get x^2 + 5x - 294 = 0.

http://imgur.com/a/N9E83
 
Physics news on Phys.org
SunnyBoy123 said:
Ok so what am I doing wrong, when i try to put equation 300 = (x+3)(x+2)(1) into Stanford form I get x^2 + 5x - 294 = 0.

http://imgur.com/a/N9E83

There is no such thing as a "Stanford form", but there can be a "standard form". Anyway, you have re-written the equation correctly.
 
The equation that you have correctly re-written is wrong.
 
lewando said:
The equation that you have correctly re-written is wrong.

This is probably very confusing to the OP. You are literally saying that the equation ##(x+2)(x+3) = 300## is wrong, because that is the equation he re-wrote. In fact, the equation is correct and his re-write of it is also correct; the book's re-write is wrong.
 
Last edited:
lewando said:
The equation that you have correctly re-written is wrong.
Sorry--upon re-read this is unclear. My intent was to encourage him to look upstream a bit more.
 
SunnyBoy123 said:
Ok so what am I doing wrong, when i try to put equation 300 = (x+3)(x+2) (1) into Stanford standard form I get x^2 + 5x - 294 = 0.
The two equations you have above are equivalent.

The problem is with the expression given for the width of the box. The length and width of the box are each 2 inches less than the length and width of the metal sheet, respectively.

So the width of the box should have been given as ##\ W=x-2\ ##.

d4Fv4vQ.jpg
 

Similar threads

Conceptual question on equations of the form ##x=ay^2+by+c##
  • · Replies 5 ·
Replies
5
Views
2K
Find the value of ##r## and ##s## in the given quadratic equation
  • · Replies 1 ·
Replies
1
Views
2K
High School Why Is My Quadratic Equation Conversion Incorrect?
  • · Replies 3 ·
Replies
3
Views
2K
Maximizing Area: Solving Quadratic Applications with Triangles and Rectangles
  • · Replies 23 ·
Replies
23
Views
3K
Value of "a" between two real roots of quadratic equation
  • · Replies 2 ·
Replies
2
Views
2K
Find integer points on this equation
  • · Replies 8 ·
Replies
8
Views
2K
Solve the quadratic equation that involves sum and product
  • · Replies 1 ·
Replies
1
Views
2K
Solving system of 3 quadratic equations
  • · Replies 4 ·
Replies
4
Views
3K
Quadratic equation with no rational roots
  • · Replies 12 ·
Replies
12
Views
4K
Quadratic equation and its roots
  • · Replies 14 ·
Replies
14
Views
3K