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

Answer:

$\dfrac{b^2}{4a^2}$

Step-by-step explanation:

There are some fractions there that are not visible.

Here it is with the fractions in place.

$x^2 + \dfrac{b}{a}x = -\dfrac{c}{a}$

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

The x-term coefficient is $\dfrac{b}{a}$.

Take half of it, or $\dfrac{b}{2a}$.

Now square it: $\dfrac{b^2}{4a^2}$.

That is what you must add to complete the square.

Answer 2

Answer:

(b/2a)^2

Step-by-step explanation:

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