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I want to solve this equation in a simpler way

IC_10705698
2-Guest

I want to solve this equation in a simpler way

I want to solve this equation with x and y being real numbers not complex ones.

IC_10705698_4-1685811473770.png

 

but without making a system of equations for the real part and the imaginary part like so:

 
 

IC_10705698_3-1685811454240.png

Is there any way to use Find or solve in this case?

 

 

 

 

 

 

1 ACCEPTED SOLUTION

Accepted Solutions

Unfortunately as so often the symbolic solve ignores the "assume" constraint

Werner_E_0-1685823269261.png

You can force it to give you al solutions (using "fully") but you have to find out yourself that a parameter _z=1 will give you the desired all real solutions.

Werner_E_1-1685823520753.png

 

But a numeric solve block with "Find" does the job because it would only return non-real solutions if the guess values are non-real

Werner_E_2-1685823601014.png

 

 

 

View solution in original post

2 REPLIES 2

Try this in your Mathcad 15 and come back and show/post the result:

 

Given

x+2*y=4

2*x-y=3

Find(x,y)

Unfortunately as so often the symbolic solve ignores the "assume" constraint

Werner_E_0-1685823269261.png

You can force it to give you al solutions (using "fully") but you have to find out yourself that a parameter _z=1 will give you the desired all real solutions.

Werner_E_1-1685823520753.png

 

But a numeric solve block with "Find" does the job because it would only return non-real solutions if the guess values are non-real

Werner_E_2-1685823601014.png

 

 

 

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