Question

look at the problem above and determine what a, b and c equal (the numbers have already been substituted into the quadratic formula) a = (type the number)

Explanation:

Step1: Recall Quadratic Formula

The quadratic formula is $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, where for a quadratic equation $ax^2 + bx + c = 0$, $a$ is the coefficient of $x^2$, $b$ is the coefficient of $x$, and $c$ is the constant term.

Step2: Identify \(a\) from the Given Formula

In the given formula $\frac{-12 \pm \sqrt{(12)^2 - 4(1)(32)}}{2(1)}$, comparing with the quadratic formula $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$, we can see that the denominator is $2a$ and here it is $2(1)$. So, by comparing $2a = 2(1)$, we can find that $a = 1$. Also, in the numerator part, the term $4ac$ is $4(1)(32)$, which also confirms that $a = 1$.

Answer:

1