- #1
How Do You Transpose the Data Shown in These Pictures?
- MHB
- Thread starter vb14
- Start date
-
- Tags
- Transpose
In summary, the conversation is about transposing equations and solving for variables. The first equation is simplified and solved for the variable, while the second equation is rearranged to isolate all terms involving the variable and then solved for the variable. The final solution is correct and the person has been given an explanation of how it was obtained.
- #2
Sudharaka
Gold Member
MHB
- 1,568
- 1
vb14 said:
Hi vb14, :)
Welcome to MHB! The first equation can be simplified to,
$$q=\sqrt{6p^2-4}$$
Now square both sides to get,
$$q^2=6p^2-4$$
Add $4$ to both sides,
$$q^2+4=6p^2$$
Divide both sides by $6$,
$$\frac{q^2+4}{6}=p^2$$
Take the square root of both sides,
$$p=\pm\sqrt{\frac{q^2+4}{6}}$$
Can you give it a try for the second one?
- #3
vb14
- 8
- 0
can you give a hand with second one as well?
please:)
please:)
- #4
MarkFL
Gold Member
MHB
- 13,288
- 12
Start by cubing both sides to get rid of the rational exponent on the right side...what do you have now?
- #5
vb14
- 8
- 0
2x-5x2=(6x2+5)/t3
- #6
MarkFL
Gold Member
MHB
- 13,288
- 12
Where did the $x$ on the left side come from?
I would first just write:
\(\displaystyle t^3=\frac{6x^2+5}{2-5x^2}\)
Next, multiply through by $2-5x^2$ to get:
\(\displaystyle 2t^3-5t^3x^2=6x^2+5\)
Now, what you want to do is arrange the equation with all the terms involving $x$ on one side and everything else on the other, the factor out $x^2$ and divide through by the other factor to solve for $x^2$ and then take the square root of both sides.
edit: I see you have also posted this at MMF and have been given the solution.
I would first just write:
\(\displaystyle t^3=\frac{6x^2+5}{2-5x^2}\)
Next, multiply through by $2-5x^2$ to get:
\(\displaystyle 2t^3-5t^3x^2=6x^2+5\)
Now, what you want to do is arrange the equation with all the terms involving $x$ on one side and everything else on the other, the factor out $x^2$ and divide through by the other factor to solve for $x^2$ and then take the square root of both sides.
edit: I see you have also posted this at MMF and have been given the solution.
- #7
- #8
MarkFL
Gold Member
MHB
- 13,288
- 12
Yes, that is correct. Do you understand how that was obtained?
FAQ: How Do You Transpose the Data Shown in These Pictures?
1. What is transposing in music?
Transposing in music refers to the process of changing the pitch of a piece of music without changing its overall structure or key. This is commonly done to accommodate different instruments or vocal ranges.
2. Why would I need help with transposing?
Transposing can be a complex task, especially for those who are not familiar with music theory. It requires knowledge of key signatures, intervals, and other musical concepts. Additionally, transposing can be time-consuming and tedious.
3. How can I transpose a piece of music?
There are several ways to transpose music, including using a transposition chart, manually transposing each note, or using a computer program or app. It is important to have a basic understanding of music theory and the key signatures involved in order to transpose accurately.
4. Are there any tips for transposing music more easily?
Yes, there are a few tips that can make transposing music easier. First, make sure you have a good understanding of key signatures and intervals. You can also use a transposition wheel or chart to help with the process. Additionally, practicing and becoming familiar with transposing can make it easier over time.
5. Can I transpose any piece of music?
Generally, yes, any piece of music can be transposed. However, some pieces may be more difficult to transpose due to complex chord progressions or unconventional key changes. It is important to have a good understanding of music theory and the piece itself in order to transpose successfully.