Complex 2 variables and 2 unknown abstract question

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Homework Help Overview

The discussion revolves around a problem in non-steady fluid mechanics involving two equations with two unknowns, X and Y. Participants are attempting to solve these equations, which are presented in a specific context related to fluid dynamics.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss solving the first equation for Y and squaring both equations to derive a quadratic equation for X. There is uncertainty regarding the negative result from the b^2-4ac calculation, leading to questions about potential calculation errors.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the method to solve the equations, but there is no explicit consensus on the correct path forward due to the negative discriminant encountered.

Contextual Notes

One participant mentions that the equations are derived from a solution provided in a text, which raises questions about the completeness of the explanation given in that source. There is also a concern about the nature of the problem, with some participants suggesting it resembles a homework question.

EngineeringDave
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The overall question is on non steady fluid mechanics however the part on stuck on boils down to the two equations below, which I am unable to solve.

X = 122.3 (2 - Y)

Y= 0.18 * SQRT( 100 + X )

the text states the equations are satisfied by Y = 1.903 and X = 11.82.

To prove this isn't a homework I will upload a picture of the solution given.

Regards
 

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It is still like a homework question.

If you solve the first equation for Y, square both equations and set them equal, you get a quadratic equation for X. Solving this gives the solutions for Y afterwards.
 
The page its from is actually a question solution however they didn't explain how to solve that particle part.

I did as you said earlier, however, the b^2-4ac section came out negative so I was unsure I was going in the right direction.

Anyone able to advise?

Regards
 
*Particular

Sorry
 
EngineeringDave said:
however, the b^2-4ac section came out negative
Then you have a calculation error somewhere, as the approach works.
 

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