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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? 18 = −9x + 7x2

A. a = 18, b = 9, c = −7

B. a = 18, b = −9, c = 7

C. a = 7, b = 9, c = 18

D. a = −7, b = 9, c = 18

Respuesta :

amna04352

Answer:

D. a = −7, b = 9, c = 18

Step-by-step explanation:

18 = -9x + 7x²

7x² - 9x - 18 = 0

Or

-7x² + 9x + 18 = 0

a = -7, b = 9, c = 18

For quadratic equation [tex]18 = -9x + 7x^2[/tex], a = -7, b = 9, c = -18

The correct answer is option (D) a = −7, b = 9, c = 18

General form of quadratic Equation:

The general form of the quadratic equation is:

[tex]ax^{2} +bx + c=0[/tex]

For given question,

We have been given a quadratic equation is, [tex]18 = -9x + 7x^2[/tex]

⇒ [tex]18 +9x= -9x + 7x^2+9x[/tex]

⇒ [tex]18+9x = 7x^2[/tex]

⇒ [tex]18 +9x -7x^2 = 7x^2 - 7x^2[/tex]

⇒ [tex]-7x^2+9x+18=0[/tex]

Comparing above equation with standard quadratic equation [tex]ax^{2} +bx + c=0[/tex] we have,

a = -7, b = 9, c = 18

Therefore, the correct answer is option (D).

Learn more about quadratic equation here:

https://brainly.com/question/18573046

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