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6.2 Complex===========

A complex expression is specified in Maxima by adding the real part ofthe expression to `%i` times the imaginary part. Thus the roots of theequation `x^2 - 4*x + 13 = 0` are `2 + 3*%i` and `2 - 3*%i`. Note thatsimplification of products of complex expressions can be effected byexpanding the product. Simplification of quotients, roots, and otherfunctions of complex expressions can usually be accomplished by usingthe `realpart`, `imagpart`, `rectform`, `polarform`, `abs`, `carg`functions. There are also some inexact matches for `complex`. Try `?? complex` to see them.

```(%o1)                                true
(%i2) ```

### Related Examples

##### complex-declare

declare(z, complex);

z=1+%i;

Calculate

##### complex-declare-define-determinant-domain-matrix-sqrt

domain:complex;

declare([a,b,c,d,e,f,...

declare([S,J],real);

Calculate

##### complex-declare-imagpart-realpart-solve

declare(a1,complex);

declare(b1,complex);

declare(a2,complex);

Calculate

domain:complex;

display2d:false;

ratprint:false;

Calculate

domain:complex;

display2d:false;

ratprint:false;

Calculate

##### complex-determinant-domain-factor-hessian-sqrt

domain:complex;

F(x,y,z):=(z+(3/2)*y+...

G(x,y,z):= x*F(x,y,z);

Calculate

##### complex-declare-rectform-solve

declare([a1,b1,a2,b2,...

eq1:a1*zA1+b1=a2*zA2+b2;

eq2:a1*zB1+b1=a2*zB2+b2;

Calculate

##### complex-domain-imagpart-makelist

domain:complex;

makelist(imagpart((-2...

Calculate

domain:complex;

eq1: 3*x+2*y=4;

eq2: 5*x-4*y=1;

Calculate

##### complex

domain=complex;

Calculate 