Question

what are the values of a, b, and c in the quadratic equation 0 = 5x - 4x² - 2?
○ a = 5, b = 4, c = 2
○ a = 5, b = -4, c = -2
○ a = -4, b = 5, c = -2
○ a = 4, b = -5, c = -2

Explanation:

Step1: Recall Quadratic Form

The standard quadratic equation is \(ax^2 + bx + c = 0\), where \(a\), \(b\), \(c\) are coefficients (\(a
eq0\)).

Step2: Rearrange Given Equation

Given equation: \(0 = 5x - 4x^2 - 2\). Rearrange terms to match \(ax^2 + bx + c = 0\):
\(-4x^2 + 5x - 2 = 0\). Here, \(a=-4\), \(b = 5\), \(c=-2\).

Answer:

\(a = -4, b = 5, c = -2\) (corresponding to the option with \(a=-4\), \(b = 5\), \(c=-2\))