ANSWER
![c = 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3tvylsmpc6wxrn21im6swakw1cesejph1m.png)
Step-by-step explanation
A quadratic equation is said to be in standard form when it is in the form
![a {x}^(2) + bx + c = 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3i4p36yae7mlnttp9sryr8nhjit0psdlyi.png)
where a, b, c are real numbers.
The given quadratic equation is
![- 6 = {x}^(2) + 4x - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aq7660v0s88ltimsgd9qf8j2fqas2kjdd7.png)
When we add 6 to both sides, we obtain,
![-6 + 6= {x}^(2) + 4x - 1 + 6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/g4stfmqy4g60waf92llyox5l7zziny6dr7.png)
![\implies \: 0= {x}^(2) + 4x + 5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/gf3swpx7xbv6qg80y5xsnw04gtlkach9s9.png)
Or
![\implies \: {x}^(2) + 4x + 5 = 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zsogqqijtpgb00hgjokjfkxkecr2qyl516.png)
This is what Alexandra got after he wrote the quadratic equation in standard form.
By comparing this equation to
![a {x}^(2) + bx + c = 0](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3i4p36yae7mlnttp9sryr8nhjit0psdlyi.png)
we have a=1, b=4 and c=5.