We appreciate your visit to Check all solutions to the equation If there are no solutions check None tex x 2 9 tex A 0 B 81 C 3 D. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the equation [tex]\(x^2 = 9\)[/tex], we need to determine the values of [tex]\(x\)[/tex] that make this equation true. Here's how you can approach this:
1. Understand the Equation: The equation [tex]\(x^2 = 9\)[/tex] means you are looking for all values of [tex]\(x\)[/tex] whose square equals 9.
2. Finding Solutions:
- A key property of squares is that a positive number has two square roots: one positive and one negative.
- So, to find the values of [tex]\(x\)[/tex], consider that:
- [tex]\(x\)[/tex] can be [tex]\(\sqrt{9}\)[/tex], which equals 3.
- [tex]\(x\)[/tex] can also be [tex]\(-\sqrt{9}\)[/tex], which equals -3.
3. List the Solutions: From this, we find:
- The first solution is [tex]\(x = 3\)[/tex].
- The second solution is [tex]\(x = -3\)[/tex].
Therefore, the solutions to the equation [tex]\(x^2 = 9\)[/tex] are [tex]\(x = 3\)[/tex] and [tex]\(x = -3\)[/tex].
Now we can match these solutions with the given options:
- C. 3 is correct.
- D. -3 is correct.
The other options don't match the solutions:
- A. 0, B. 81, E. -81 do not satisfy [tex]\(x^2 = 9\)[/tex].
- F. None is incorrect because we do have solutions.
So, the correct options to check are C and D.
1. Understand the Equation: The equation [tex]\(x^2 = 9\)[/tex] means you are looking for all values of [tex]\(x\)[/tex] whose square equals 9.
2. Finding Solutions:
- A key property of squares is that a positive number has two square roots: one positive and one negative.
- So, to find the values of [tex]\(x\)[/tex], consider that:
- [tex]\(x\)[/tex] can be [tex]\(\sqrt{9}\)[/tex], which equals 3.
- [tex]\(x\)[/tex] can also be [tex]\(-\sqrt{9}\)[/tex], which equals -3.
3. List the Solutions: From this, we find:
- The first solution is [tex]\(x = 3\)[/tex].
- The second solution is [tex]\(x = -3\)[/tex].
Therefore, the solutions to the equation [tex]\(x^2 = 9\)[/tex] are [tex]\(x = 3\)[/tex] and [tex]\(x = -3\)[/tex].
Now we can match these solutions with the given options:
- C. 3 is correct.
- D. -3 is correct.
The other options don't match the solutions:
- A. 0, B. 81, E. -81 do not satisfy [tex]\(x^2 = 9\)[/tex].
- F. None is incorrect because we do have solutions.
So, the correct options to check are C and D.
Thanks for taking the time to read Check all solutions to the equation If there are no solutions check None tex x 2 9 tex A 0 B 81 C 3 D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
