Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Type the correct answer in the box. Use numerals instead of words.

What is the solution of this equation?

[tex]\[ -\frac{1}{2} n^2 + 18 = 0 \][/tex]

[tex]\[ n = \pm \][/tex]


Sagot :

To solve the equation:
[tex]\[ -\frac{1}{2} n^2 + 18 = 0 \][/tex]

1. First, we want to eliminate the fraction. Multiply every term in the equation by -2 to get:
[tex]\[ n^2 - 36 = 0 \][/tex]

2. Then, solve for [tex]\( n^2 \)[/tex]:
[tex]\[ n^2 = 36 \][/tex]

3. Next, take the square root of both sides to find [tex]\( n \)[/tex]:
[tex]\[ n = \pm \sqrt{36} \][/tex]

4. Since the square root of 36 is 6, we have:
[tex]\[ n = \pm 6 \][/tex]

Therefore, the solutions are:
[tex]\[ n = \pm 6 \][/tex]

So, the values for [tex]\( n \)[/tex] are 6 and -6.
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.