If p ≠0 and p - (1-p^2)/p = r/p, then r =
A) p + 1
B) 2p - 1
C) p^2+ 1
D) 2p^2 - 1
E) p^2 + p - 1
D
A) p + 1
B) 2p - 1
C) p^2+ 1
D) 2p^2 - 1
E) p^2 + p - 1
D
Let p=-1.AbeNeedsAnswers wrote:If p ≠0 and p - (1-p^2)/p = r/p, then r =
A) p + 1
B) 2p - 1
C) p^2+ 1
D) 2p^2 - 1
E) p^2 + p - 1
Substituting p=-1 into p - (1-p²)/p = r/p, we get:
-1 - [1 - (-1)²]/-1 = r/(-1)
-1 - 0 = -r
-1 = -r
r = 1.
Since the question stem asks for the value of r, our target value is r=1.
Now plug p=-1 into the answers to see which yields our target value of 1.
Only D works:
2p² - 1 = 2(-1)² - 1 = 1.
The correct answer is D.
