Identify Coefficients in -8x² - 5x + 9 = 0: Component Analysis

To solve this problem, we'll follow these steps:

• Step 1: Identify the equation is given in the standard quadratic form: $-8x^2 - 5x + 9 = 0$.
• Step 2: Determine each component:
  • $a$ is the coefficient of $x^2$, which is $-8$.
  • $b$ is the coefficient of $x$, which is $-5$.
  • $c$ is the constant term, which is $9$.

Now, let's resolve this using the above plan:

Step 1: The equation is already in standard form: $-8x^2 - 5x + 9 = 0$.

Step 2: Recognize that:

• $a = -8$ because it is the coefficient of $x^2$.
• $b = -5$ because it is the coefficient of $x$.
• $c = 9$ because it is the constant term.

Therefore, the components of the equation are $a = -8$, $b = -5$, $c = 9$.