## Quadratic(a, b, c)

##### Last updated July 18, 2001

**Version:** 1 |
**Requires:** CF5 |
**Library:** MathLib

**Description:**

Returns a structure containing the two real roots of a polynomial in the form: ax^2 + bx + c = 0

**Return Values:**

Returns a structure.

**Example:**

```
<CFSET a = 1>
<CFSET b = -3>
<CFSET c = -4>
<CFSET Quadratic=#Quadratic(a, b, c)#>
<CFOUTPUT>
Given a = 1, b = -3, c = -4
The first root is #Quadratic.Root1#
The second root is #Quadratic.Root2#
</CFOUTPUT>
<P>
Here's the Quadratic structure:
<P>
<CFDUMP VAR="#Quadratic#">
```

**Parameters:**

Name | Description | Required |
---|---|---|

a | Coefficient of x^2 term | Yes |

b | Coefficient of x term | Yes |

c | Constant | Yes |

**Full UDF Source: **

```
/**
* Returns the two real roots of a polynomial in the form: ax^2 + bx + c = 0
*
* @param a Coefficient of x^2 term
* @param b Coefficient of x term
* @param c Constant
* @return Returns a structure.
* @author Joel Cox (jlcox@goodyear.com)
* @version 1, July 18, 2001
*/
function Quadratic(a, b, c)
{
Var mRoots = StructNew();
Var first = 0;
Var second = 0;
Var denom = 2 * a;
Var arg1 = b^2 - 4 * a * c;
if (arg1 LT 0) {
mRoots["Root1"] = "not real";
mRoots["Root2"] = "not real";
}
else {
first = -b / denom;
second = Sqr(arg1) / denom;
mRoots["Root1"] = first + second;
mRoots["Root2"] = first - second;
}
Return mRoots;
}
```

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