Alessandro wrote the quadratic equation -6=x2+4x-1 in standard form. What is the value of c in his new equation?

c=-6
c=-1
c=5
c=7

Respuesta :

Given:

A quadratic equation is

[tex]-6=x^2+4x-1[/tex]

To find:

The standard form of the given equation and find the value of c.

Solution:

The standard form of a quadratic equation is

[tex]ax^2+bx+c=0[/tex]               ...(i)

We have,

[tex]-6=x^2+4x-1[/tex]

It can be rewritten as

[tex]0=x^2+4x-1+6[/tex]

[tex]0=x^2+4x+5[/tex]

[tex]x^2+4x+5=0[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]c=5[/tex]

Therefore, the value of c is equal to 5 and the correct option is C.

Answer:

the answer is c

Step-by-step explanation:

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