Answered

For all your questions, big or small, IDNLearn.com has the answers you need. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

Sunil is solving the quadratic equation by completing the square.

[tex]\[
\begin{array}{l}
6x^2 + 24x + 5 = 0 \\
6x^2 + 24x = -5
\end{array}
\][/tex]

What should Sunil do next?

A. Isolate the variable [tex]$x^2$[/tex].
B. Isolate the constant.
C. Factor 6 out of the variable terms.
D. Subtract [tex]$24x$[/tex] from both sides of the equation.

Sagot :

GinnyAnsweridn
Alright, let's solve this step-by-step and help Sunil along the way.

Given the quadratic equation:
[tex]\[6x^2 + 24x + 5 = 0\][/tex]

First, move the constant term to the right side of the equation:
[tex]\[6x^2 + 24x = -5\][/tex]

Now, to simplify and set up for completing the square, factor 6 out of the [tex]\(x\)[/tex] terms:
[tex]\[6(x^2 + 4x) = -5\][/tex]

So, the next step that Sunil should take is:

Factor 6 out of the variable terms.
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.