Some simple algebra that's bugging me

  • Thread starter Thread starter airkapp
  • Start date Start date
  • Tags Tags
    Algebra
Click For Summary
The discussion focuses on isolating the variable L in the equation 550,000Hz = 1 / (2 π √(L*1800E-12C)). The user attempts various algebraic manipulations, including multiplying and dividing terms, to simplify the equation. They correctly identify that squaring both sides can eliminate the square root, leading to a new expression for L. The final formula derived is L = ((1 / (2π * 550,000))^2) / (1.8E-9). The thread highlights common algebraic techniques for solving equations involving square roots and constants.
airkapp
Messages
58
Reaction score
0
550,000Hz = 1 / (2 π √ L*1800E-12C )

I'm trying to isolate for L but I can't seem to do it right.

multiply 550,000 * (2 π √ L*1800E-12 )

then divide 1 by 550,000 and put 4π over it. then square both sides to get ride of the sq. root giving something like..

L = (4π^2 * 1.8E-9C) / 550,000Hz
 
Mathematics news on Phys.org
550,000=\frac{1}{2\pi\sqrt{L*1.8*10^{-9}}}
\sqrt{L*1.8*10^{-9}}=\frac{1}{2\pi*550,000}
L*1.8*10^{-9}=(\frac{1}{2\pi*550,000})^2
L=\frac{(\frac{1}{2\pi*550,000})^2}{1.8*10^{-9}}
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K