Answer: The required value of c is 5.
Step-by-step explanation: We are given to Alessandro wrote the following quadratic equation in standard form.
We are to find the value of c in his new equation.
We know that
a quadratic equation can be written in standard form as follows :
[tex]ax^2+bx+c=0,~a\neq 0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
So, the given equation can be written as :
[tex]-6=x^2+4x-1\\\\\Rightarrow x^2+4x-1+6=0\\\\\Rightarrow x^2+4x+5=0.[/tex]
Comparing with the standard form (i), we find that the value of c is 5.
That is, c = 5.
Thus, the required value of c is 5.
