Complex 2 variables and 2 unknown abstract question

In summary, the conversation discusses non steady fluid mechanics and the difficulty in solving two equations related to this topic. The equations are satisfied by the values of Y = 1.903 and X = 11.82. To solve this, one can rearrange the first equation for Y and set the squared equations equal to each other, resulting in a quadratic equation for X. Solving this equation will give the solution for Y.
  • #1
EngineeringDave
10
0
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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  • #2
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.
 
  • #3
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
 
  • #4
*Particular

Sorry
 
  • #5
EngineeringDave said:
however, the b^2-4ac section came out negative
Then you have a calculation error somewhere, as the approach works.
 

1. What is the meaning of "complex 2 variables and 2 unknown abstract question"?

Complex 2 variables and 2 unknown abstract question refers to a mathematical problem or equation that involves two complex variables (numbers with a real and imaginary component) and two unknowns, or variables that need to be solved for. It is considered abstract because it does not have a concrete, physical representation.

2. How is a problem with complex 2 variables and 2 unknowns different from a regular algebraic equation?

A problem with complex 2 variables and 2 unknowns is different from a regular algebraic equation because it involves complex numbers and multiple unknowns, making it more challenging to solve. Regular algebraic equations typically only involve real numbers and one or two variables.

3. What are some real-world applications of complex 2 variables and 2 unknown abstract questions?

Complex 2 variables and 2 unknown abstract questions have various applications in fields such as physics, engineering, and economics. For example, they can be used to model the behavior of electrical circuits, analyze economic systems, and solve problems in fluid dynamics.

4. Can complex 2 variables and 2 unknown abstract questions have multiple solutions?

Yes, complex 2 variables and 2 unknown abstract questions can have multiple solutions. This is because the complex plane is two-dimensional, meaning there are multiple combinations of real and imaginary values that can satisfy the equation.

5. What techniques can be used to solve complex 2 variables and 2 unknown abstract questions?

There are various techniques that can be used to solve complex 2 variables and 2 unknown abstract questions, such as substitution, elimination, and graphical methods. Advanced techniques like using matrices and complex number operations can also be employed in more complex problems.

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