Answered

IDNLearn.com offers a comprehensive platform for finding and sharing knowledge. Ask any question and receive timely, accurate responses from our dedicated community of experts.

How is the missing number determined to make a perfect square?

How Is The Missing Number Determined To Make A Perfect Square class=

Sagot :

Explanation

a perfect square has the form

[tex]a^2+2ab+b^2[/tex]

so, the thir t term would be

[tex]\begin{gathered} b=\frac{2ab}{2\sqrt{a^2}} \\ \sqrt{thirterm}=\frac{second\text{ term}}{2*\sqrt{first\text{ term}}} \end{gathered}[/tex]

so

Step 1

[tex]v^2+6v[/tex][tex]v^2+6v\Rightarrow a^2+2ab[/tex]

hence

[tex]\begin{gathered} \sqrt{b}=\frac{second\text{term}}{2\sqrt{first\text{ term}}} \\ \sqrt{b}=\frac{6v}{2\sqrt{v^2}} \\ \sqrt{b}=\frac{6v}{2v^} \\ \sqrt{b}=3 \\ \sqrt{b}=3 \\ b=3^2 \\ b=9 \end{gathered}[/tex]

therefore, the answer is

9

I hope this helps you

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.