Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Sienna is solving the quadratic equation by completing the square.

[tex]\[
\begin{array}{r}
3x^2 + 9x - 4 = 0 \\
3x^2 + 9x = 4 \\
A(x^2 + 3x) = 4
\end{array}
\][/tex]

What is the value of [tex]\( A \)[/tex]?

A. [tex]\(-4\)[/tex]

B. [tex]\(-3\)[/tex]

C. [tex]\(3\)[/tex]

D. [tex]\(4\)[/tex]

Sagot :

GinnyAnswer
To solve the given quadratic equation by completing the square, we first want to work with the equation in a more manageable form. Here are the steps:

1. Start with the given quadratic equation:
[tex]\[ 3x^2 + 9x - 4 = 0 \][/tex]

2. Move the constant term to the right side of the equation:
[tex]\[ 3x^2 + 9x = 4 \][/tex]

3. Factor out the coefficient of [tex]\(x^2\)[/tex] from the left side. The coefficient is 3:
[tex]\[ 3(x^2 + 3x) = 4 \][/tex]

From the above step, we can see that the equation inside the parentheses has been scaled by a factor of 3. So, the value of [tex]\( A \)[/tex] is 3.

Thus, the value of [tex]\( A \)[/tex] is:
[tex]\[ \boxed{3} \][/tex]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.