Alessandro wrote the quadratic equation -6=x^2+4x-1 in standard form. What is the value of c in his new equation

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 thata 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.