Question

algebra: concepts and connections - plc modeling and analyzing quadratic functions: quadratic equations alessandro wrote the quadratic equation -6 = x² + 4x - 1 in standard form. what is the value of c in his new equation? c = -1 c = 5 c = -6 c = 7

Explanation:

Step1: Recall standard quadratic form

The standard form of a quadratic equation is $ax^2 + bx + c = 0$, where $a$, $b$, $c$ are constants.

Step2: Rearrange given equation

Start with the given equation:
$-6 = x^2 + 4x - 1$
Add 6 to both sides to set the equation to 0:
$x^2 + 4x - 1 + 6 = 0$

Step3: Simplify the constant terms

Combine the constant values:
$x^2 + 4x + 5 = 0$
In this standard form, $c$ is the constant term.

Answer:

$c=5$