# matlab symbolic roots

To find the symbolic roots of an equation in Matlab, you can use the `solve`

function. The `solve`

function takes an equation as input and returns the symbolic solutions.

Here is an example of how to use the `solve`

function:

```
syms x
eqn = x^2 - 4 == 0;
sol = solve(eqn, x);
```

In this example, we define the variable `x`

as a symbolic variable using the `syms`

function. Then, we define the equation `x^2 - 4 == 0`

using the symbolic variable `x`

. Finally, we call the `solve`

function with the equation and the variable `x`

as arguments. The `solve`

function returns the symbolic solutions to the equation, which are stored in the variable `sol`

.

You can also solve systems of equations using the `solve`

function by passing multiple equations as input. Here is an example:

```
syms x y
eqn1 = x + y == 5;
eqn2 = x - y == 1;
sol = solve([eqn1, eqn2], [x, y]);
```

In this example, we define two equations `x + y == 5`

and `x - y == 1`

using the symbolic variables `x`

and `y`

. We pass these equations as a vector `[eqn1, eqn2]`

and the variables `[x, y]`

to the `solve`

function. The `solve`

function returns the symbolic solutions to the system of equations, which are stored in the variable `sol`

.

Note that the `solve`

function may not always be able to find symbolic solutions for all equations or systems of equations. In such cases, you may need to use numerical methods or other techniques to approximate the solutions.