# Solve the complex equation with Solve

**URL:** <https://community.wolfram.com/t/solve-the-complex-equation-with-solve/8183>\
**Category:** Questions\
**Tags:** algebra, equation-solving, symbolic-computations\
**Created:** [March 22, 2016, 10:31am UTC](https://community.wolfram.com/t/solve-the-complex-equation-with-solve/8183 "2016-03-22T10:31:16Z")\
**Posts on this page:** 1\
**Page:** 1

<div class="post-metadata">

**Author:** ![lzuyinge](https://avatars.discourse-cdn.com/v4/letter/l/f08c70/32.png) [@lzuyinge](https://community.wolfram.com/u/lzuyinge)\
**Post date:** [March 22, 2016, 10:31am UTC](https://community.wolfram.com/t/solve-the-complex-equation-with-solve/8183/1 "2016-03-22T10:31:16Z")

</div>

about the equation solve, this simple complex equation can be solve with Solve, while the domains of a and b must be added.

```
In[152]:= Solve[{a + b I - 2 + 3 I == 0.0 + 0.0 I, -100 < a < 
   100, -100 < b < 100}, {a, b}]

\:6B63\:5728\:8BA1\:7B97In[152]:= Solve::ratnz: Solve ??????????????. ???????????????????????????. >>

Out[152]= {{a -> 2., b -> -3.}}

```

but if the equation is not an simple one, like follows equal to zero, how can I use solve to get the solution?

```
{-(((0.0545683 - 
         0.00208937 I) E^((0. - 
          1.*10^-7 I) Sqrt[(-3.88435*10^12 + 
           1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
            I k2)^2]) (0. - (4.36692 - 0.145345 I) Sqrt[
          8.89495*10^11 - 1. (k1 + I k2)^2] + 
         1. Sqrt[(-3.88435*10^12 + 
             1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
              I k2)^2]) ((-4.36692 + 
            0.145345 I) Sqrt[(9.29602*10^11 + 6.66186*10^10 I) - (k1 +
              I k2)^2] + (2735/2617 + (196 I)/
            2617) Sqrt[(-3.88435*10^12 + 
             1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
              I k2)^2]))/(Sqrt[8.89495*10^11 - 1. (k1 + I k2)^2]
        Sqrt[(-3.88435*10^12 + 
          1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
           I k2)^2])) - ((0.0545683 - 
       0.00208937 I) E^((0. + 
        1.*10^-7 I) Sqrt[(-3.88435*10^12 + 
         1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
          I k2)^2]) (0. - (4.36692 - 0.145345 I) Sqrt[
        8.89495*10^11 - 1. (k1 + I k2)^2] - 
       1. Sqrt[(-3.88435*10^12 + 
           1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
            I k2)^2]) ((4.36692 - 
          
          0.145345 I) Sqrt[(9.29602*10^11 + 6.66186*10^10 I) - (k1 + 
           I k2)^2] + (2735/2617 + (196 I)/
          2617) Sqrt[(-3.88435*10^12 + 
           1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + 
            I k2)^2]))/(Sqrt[8.89495*10^11 - 1. (k1 + I k2)^2]
      Sqrt[(-3.88435*10^12 + 
        1.29283*10^11 I) + (1.58739 - 0.0532404 I) (k1 + I k2)^2])}

```

i also want to solve a11==0 the values of k1 and k2, k1 and k2 are real. how to do it?is there any other way to solve this?