Question

Solve for P in the equation R^2P = R + 2w.

A. P = R + 2w
B. P = 2R + 2w
C. P = 2R - w
D. P = 2(R + w)

Answer 1

The equation R^2P = R + 2w can be solved by dividing both sides by R^2 to isolate P, which simplifies to P = 1/R + 2w/R^2. However, this solution does not match any of the given options, indicating a potential error in the available choices.

Step-by-step explanation:

You have been asked to solve for P in the equation R^2P = R + 2w. To solve for P, you must isolate it on one side of the equation. Here's how you can do it step by step:

• Start with the original equation: R^2P = R + 2w.
• Divide both sides by R^2 to get P by itself: P = (R + 2w) / R^2.
• Simplify the right side by dividing both terms by R^2: P = R/R^2 + 2w/R^2.
• Further simplification gives us P = 1/R + 2w/R^2.
• The final answer is none of the options provided, and there might be a mistake in the proposed answers.

Note that none of the given options (A, B, C, D) correctly represents the solution when following the algebraic steps to isolate P.