hp35s solve equation complex format

[Dieter]

(06-12-2016 12:53 PM)dalupus Wrote:  Thanks for the responses. For solving these equations you can break the real and imaginary parts into 2 equations.

Sure. But that sounds a bit different from "That one equation is sufficient". ;-)

(06-12-2016 12:53 PM)dalupus Wrote:  So the real part ends up being x -.5y =0
And the imaginary part is 0x + .86603y = 30

This of course can be handled by the 2x2 solver.

(06-12-2016 12:53 PM)dalupus Wrote:  That is a bummer about not being able to use the solvers in a program.

Of course you can use the 35s solver in a program – the manual has several examples for this. But you cannot use equations from the equation list there. Which is what you want to do here.

(06-12-2016 12:53 PM)dalupus Wrote:  Guess I'll just roll my own extracting the real and imaginary parts into Cramer's rule

Should be easy to do. Each determinant can be calculated in merely five steps. But you do not have to implement Cramer's rule – you have to provide the six values for the two equations and store them in registers A...F. Then use the "2x2 lin. solve" function from the equation list.

In this case A=1, B=-0,5, C=0, D=0, E=0,86603, F=30  =>  x=17,32  y=34,64.

So you only have to do the extraction. If you want to solve the general equation (r1 + c1i)X + (r2+c2i)Y = r3+c3i you simply store

r1 in A
r2 in B
r3 in C
c1 in D
c2 in E
c3 in F

and run the 2x2 lin. solver without any entry. Be sure not to have any complex numbers in A...K.

But why bother about a program? Simply run the 2x2 solver and enter the three real parts, then the three imaginary parts. Simple as that.

(06-12-2016 12:53 PM)dalupus Wrote:  All in all though I have to say I am very impressed with the 35s. Much more powerful than the other calculators permitted on the FE exam.

I use it since it was available in 2007, and it has become my everyday calculation tool.

Dieter