Question

Solve for f
f/40 = 10/f​

Answer 1

Answer:

f = 20

Explanation:

Starting with:

f/40 = 10/f

We can simplify by multiplying both sides by f:

f/40 * f = 10/f * f

f^2 / 40 = 10

Multiplying both sides by 40:

f^2 = 400

Taking the square root of both sides, remembering to consider both the positive and negative roots:

f = ±20

So the two possible solutions are f = 20 or f = -20.

Answer 2

Explanation:

To solve for f, we can cross-multiply the equation:

f/40 = 10/f

Multiplying both sides by 40f gives:

f^2 = 400

Taking the square root of both sides yields:

f = ±20

Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:

f = 20