What is the value of "c" in the following quadratic? (Make sure the equation is in
standard form: ax^2 + bx +c= 0)
X^2 +28 = -11x

Respuesta :

               [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Given question:-}}}\rule{50}{1}[/tex]

           What is the value of c in the quadratic [tex]\large\text{$x^2+28=-11x$}[/tex]?

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

           Before starting to solve, you should notice something - the

quadratic is not in its standard form!

We can easily fix it by adding [tex]\large\textit{11x}[/tex] on both sides:-

[tex]\large\text{$x^2+28-11x=0$}[/tex]

We can switch the order of 28 and -11x:-

[tex]\large\text{$x^2-11x+28=0$}[/tex]

  Now, the quadratic is in its standard form, so we can get down to

finding the value of "c".

Remember, the standard form of a quadratic looks like so:-

  •  [tex]\large\text{$ax^2+bx+c=0$}[/tex]

Now we can just write our quadratic here:-

  • [tex]\large\text{$x^2-11x+28=0$}[/tex]

Now, can you see what the value of "c" is?

An easy way to remember "c" in quadratics is:-

The "c" in quadratics is the constant.

   

Henceforth, we conclude that the value of "c" in the given quadratic is:-

 [tex]\Large\textbf{28}\Large\checkmark[/tex]

        Good luck with your studies.

        [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]