# Difference between revisions of "ApCoCoA-1:Bertini.BMSolve"

## Bertini.BMSolve

Solves zero dimensional non-Homogeneous polynomial system using mult-homogenization with Default Configurations.

### Syntax

```Bertini.BMSolve(M:LIST)
```

### Description

Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.

• @param M: List of polynomials in the system to be solved.

#### Example

```-- We want to solve the non-homogenous system x^2+x^2-5=0, xx-2=0, using multi-homogenization.

Use S ::= QQ[x[1..2]];             --  Define appropriate ring
M := [x^2+x^2-5, xx-2];

-- Then we compute the solution with
\$Bertini.BMSolve(M);

-- And we achieve:
----------------------------------------
The number of real finite solutions are:
4
The real finite solutions are:

-2.000000000000035e+00 2.454024452036439e-14
-9.999999999999871e-01 -1.788069996029196e-15

-9.999999999999907e-01 -1.089397896007851e-14
-2.000000000000040e+00 2.607382514440176e-14

1.999999999999310e+00 2.357507317170427e-13
1.000000000000226e+00 -9.624182470906783e-14

1.000000000000282e+00 7.742365792116463e-14
1.999999999999288e+00 -1.777128279159746e-14

For summary of all solutions refer to ApCoCoAServer
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```