Question

The steps to derive the quadratic formula are shown below:Step 1 ax2 + bx + c = 0Step 2 ax2 + bx = - CStep 3Provide the next step to derive the quadratic formula.

Answer 1

Here, we are given the first two steps to derive the quadratic formula:

Step 1: ax² + bx + c = 0

Step 2: ax² + bx = -c

Let's determine the next step to derive the quadratic formula.

To provide the next step, let's divide all terms by a:

We have:

Step 3.

`\begin{gathered} (ax^2)/(a)+(bx)/(a)=-(c)/(a) \\ \\ (x^2)/(a)+(b)/(a)x=-(c)/(a) \end{gathered}`

Therefore, the next step to derive the quadratic formula is:

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

ANSWER:

`\frac{x^2^{}}{a}+(b)/(a)x=-(c)/(a)`