Respuesta :

Answer:

The answer is a = 1/4 , b = 0 and c = 5

Step-by-step explanation:

∵ 1/4 x² + 5 = 0 is a quadratic equation

∵ ax² + bx + c = 0 is the general form of the quadratic equation

∴ a = 1/4

∴ b = 0

∴ c  = 5

For this case we have that, by definition, a quadratic equation is of the form:

[tex]ax ^ 2 + bx + c = 0[/tex]

In addition, its roots are given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

If we have the following equation:

[tex]\frac {1} {4} x ^ 2 + 5 = 0[/tex]

So we have to:

[tex]a = \frac {1} {4}[/tex]

[tex]b = 0,[/tex] there is no term that accompanies x.

[tex]c = 5[/tex]

Asnwer:

[tex]a = \frac {1} {4}\\b = 0\\c = 5[/tex]