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.
[tex]\begin{gathered} \frac{ax^2}{a}+\frac{bx}{a}=-\frac{c}{a} \\ \\ \frac{x^2}{a}+\frac{b}{a}x=-\frac{c}{a} \end{gathered}[/tex]
Therefore, the next step to derive the quadratic formula is:
[tex]\frac{x^2}{a}+\frac{b}{a}x=-\frac{c}{a}[/tex]
ANSWER:
[tex]\frac{x^2^{}}{a}+\frac{b}{a}x=-\frac{c}{a}[/tex]
