Question

Kyle is using the general form of a quadratic equation to derive the quadratic formula. He reaches the step in his proof that states x2 + b a x = - c a . Which term must he add to complete the square?

Answer 1

`(b^2)/(4a^2)`

Explanation:

There are some fractions there that are not visible.

Here it is with the fractions in place.

`x^2 + (b)/(a)x = -(c)/(a)`

To complete the square, take half of the x-term coefficient, and square it.

The x-term coefficient is
`(b)/(a)`.

Take half of it, or
`(b)/(2a)`.

Now square it:
`(b^2)/(4a^2)`.

That is what you must add to complete the square.

Answer 2

(b/2a)^2

Explanation:

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