Answered

Discover new information and insights with the help of IDNLearn.com. Our platform provides trustworthy answers to help you make informed decisions quickly and easily.

Identifying the values [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] is the first step in using the quadratic formula to find the solution(s) to a quadratic equation. What are the values [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] in the following quadratic equation?

[tex]\[ -3x^2 - 5x + 9 = 0 \][/tex]

A. [tex]a = 5, b = 9, c = 0[/tex]

B. [tex]a = 3, b = 5, c = 9[/tex]

C. [tex]a = -3, b = -5, c = 9[/tex]

D. [tex]a = -5, b = 9, c = 0[/tex]

Sagot :

GinnyAnsweridn
To identify the values of [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex] in the quadratic equation [tex]\(-3x^2 - 5x + 9 = 0\)[/tex], we need to compare it to the standard form of a quadratic equation, which is [tex]\(ax^2 + bx + c = 0\)[/tex].

Given the equation:

[tex]\[ -3x^2 - 5x + 9 = 0 \][/tex]

We can identify the coefficients as follows:
- The coefficient of [tex]\(x^2\)[/tex] is [tex]\(a\)[/tex].
- The coefficient of [tex]\(x\)[/tex] is [tex]\(b\)[/tex].
- The constant term is [tex]\(c\)[/tex].

Therefore, by comparing:

- For [tex]\(a\)[/tex], we have the coefficient of [tex]\(x^2\)[/tex], which is [tex]\(-3\)[/tex].
- For [tex]\(b\)[/tex], we have the coefficient of [tex]\(x\)[/tex], which is [tex]\(-5\)[/tex].
- For [tex]\(c\)[/tex], we have the constant term, which is [tex]\(9\)[/tex].

Thus, the values of [tex]\(a\)[/tex], [tex]\(b\)[/tex], and [tex]\(c\)[/tex] are:
[tex]\[ a = -3, \][/tex]
[tex]\[ b = -5, \][/tex]
[tex]\[ c = 9. \][/tex]

This matches the option:
[tex]\[ a = -3, b = -5, c = 9. \][/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Find precise solutions at IDNLearn.com. Thank you for trusting us with your queries, and we hope to see you again.