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
R = ?
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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.
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We have p - (1-p^2)/p = r/pAbeNeedsAnswers 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
D
=> [p^2 -(1-p^2)]/p = r/p; taking LCM of LHS
Since p ≠0, we can cancel p from both the sides.
=> p^2 -(1-p^2) = r
=> r = p^2 -1 + p^2
[spoiler]r = 2p^2 -1[/spoiler]
The correct answer: D
Hope this helps!
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p - (1 - p²)/p = r/p
Start by multiplying both sides by p:
p[p - (1 - p²)/p = r/p]
p² - (1 - p²) = r
p² - 1 + p² = r
2p² - 1 = r
The answer is D.
Start by multiplying both sides by p:
p[p - (1 - p²)/p = r/p]
p² - (1 - p²) = r
p² - 1 + p² = r
2p² - 1 = r
The answer is D.
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p - (1 - p²)/p = r/p
multiply both sides by p:
p² - (1 - p²) = r
do the subtraction on the left side:
2p² - 1 = r
multiply both sides by p:
p² - (1 - p²) = r
do the subtraction on the left side:
2p² - 1 = r
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Let's simplify the given equation p - (1-p^2)/p = r/p by multiplying both sides by p: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
p^2 - (1-p^2) = r
p^2 - 1 + p^2 = r
2p^2 - 1 = r
Answer: D
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Hi All,
We're told that P ≠0 and P - (1 - P^2)/P = R/P. We're asked for the value of R. This question can be solved in a couple of different ways, including by TESTing VALUES.
IF....P=2, then we have....
2 - [(1 - 4)/2] = R/2
2 - ( -3/2) = R/2
4/2 - (-3/2) = R/2
7/2 = R/2
7 = R
So we're looking for an answer that equals 7 when P=2. There's only one answer that matches...
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
We're told that P ≠0 and P - (1 - P^2)/P = R/P. We're asked for the value of R. This question can be solved in a couple of different ways, including by TESTing VALUES.
IF....P=2, then we have....
2 - [(1 - 4)/2] = R/2
2 - ( -3/2) = R/2
4/2 - (-3/2) = R/2
7/2 = R/2
7 = R
So we're looking for an answer that equals 7 when P=2. There's only one answer that matches...
Final Answer: D
GMAT assassins aren't born, they're made,
Rich