In the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, <u>a = -3,</u> <u>b = -5,</u> and <u>c = 9</u>. Hence, <u>option C</u> 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:
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, <u>a = -3,</u> <u>b = -5,</u> and <u>c = 9</u>. Hence, <u>option C</u> 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."