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R = ?

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AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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R = ?

Post Mon Jul 03, 2017 8:39 pm
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

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Post Wed Jul 05, 2017 1:01 am
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

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Post Wed Jul 12, 2017 4:27 pm
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
Let’s simplify the given equation p - (1-p^2)/p = r/p by multiplying both sides by p:

p^2 - (1-p^2) = r

p^2 - 1 + p^2 = r

2p^2 - 1 = r

Answer: D

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Matt@VeritasPrep GMAT Instructor
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Post Wed Jul 05, 2017 1:01 am
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

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Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. Find a class now!

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Post Wed Jul 12, 2017 4:27 pm
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
Let’s simplify the given equation p - (1-p^2)/p = r/p by multiplying both sides by p:

p^2 - (1-p^2) = r

p^2 - 1 + p^2 = r

2p^2 - 1 = r

Answer: D

_________________

Scott Woodbury Stewart Founder & CEO
GMAT Quant Self-Study Course - 500+ lessons 3000+ practice problems 800+ HD solutions
5-Day Free Trial 5-DAY FREE, FULL-ACCESS TRIAL TTP QUANT

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Post Tue Jul 04, 2017 8:12 am
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.

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