Question

Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

Answer 1

In the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.

A quadratic equation is a polynomial of degree 2, in a single variable x.

The standard form of a quadratic equation is ax² + bx + c = 0.

The quadratic formula is used to find the solution(s)/root(s) of this equation.

The quadratic formula is:

$x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}$

Thus, identifying the values of a, b, and c, is the first step in using the quadratic formula to find a solution(s)/root(s) to a quadratic equation.

In the question, we are asked to find the values of a, b, and c, in the given quadratic equation - 3x² - 5x + 9 = 0.

To find the values of a, b, and c, we compare the given equation, to the standard form of a quadratic equation, ax² + bx + c = 0.

On comparing, we get a is the coefficient of x², that is, a = -3.

On comparing, we get b is the coefficient of x, that is, b = -5.

On comparing, we get c is the constant term, that is, c = 9.

Thus, in the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.

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The provided question is incomplete.

The complete question is:

"Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.

What are the values a, b, and c in the following quadratic equation?

- 3x² - 5x + 9 = 0

• A. a = 5, b = 9, c = 0
• B. a = 3, b = 5, c = 9
• C. a = −3, b = −5, c = 9
• D. a = −5, b = 9, c = 0."