Question

Give the values of a, b, and c needed to write the equation's general form. 1/4 x^2 +5 =0

Answer 1

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

`ax ^ 2 + bx + c = 0`

In addition, its roots are given by:

`x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}`

If we have the following equation:

`\frac {1} {4} x ^ 2 + 5 = 0`

So we have to:

`a = \frac {1} {4}`

`b = 0,` there is no term that accompanies x.

`c = 5`

Asnwer:

`a = \frac {1} {4}\\b = 0\\c = 5`

Answer 2

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

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