If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =
A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1
C
OG: If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =
This topic has expert replies

 Master  Next Rank: 500 Posts
 Posts: 394
 Joined: 02 Jul 2017
 Thanked: 1 times
 Followed by:5 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 3008
 Joined: 22 Aug 2016
 Location: Grand Central / New York
 Thanked: 470 times
 Followed by:32 members
So we have Z + (1 – 2Z^2)/Z = W/ZAbeNeedsAnswers wrote: ↑Fri Jun 05, 2020 6:21 pmIf Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =
A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1
C
Since we want the value of W, we must get rid of Z from W/Z. To do that let's multiply the equation by Z.
So, we get Z*[Z + (1 – 2Z^2)/Z] = Z*[W/Z]
Z^2 + (1 – 2Z^2) = W
X = 1 – Z^2
The correct answer: C
Hope this helps!
Jay
_________________
Manhattan Review GMAT Prep
Locations: GMAT Classes El Paso  GMAT Tutoring  GRE Prep Courses Oakland  Albuquerque Prep Classes SAT  and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 16066
 Joined: 08 Dec 2008
 Location: Vancouver, BC
 Thanked: 5254 times
 Followed by:1268 members
 GMAT Score:770
Given: z + (1  2z²)/z = w/zAbeNeedsAnswers wrote: ↑Fri Jun 05, 2020 6:21 pmIf Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =
A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1
C
Eliminate the fractions, multiply both sides of the equation by z to get: z² + (1  2z²) = w
Simplify to get: 1  z² = w
Rewrite as: z² + 1= w
Answer: C
Cheers,
Brent
GMAT/MBA Expert
 [email protected]
 GMAT Instructor
 Posts: 6451
 Joined: 25 Apr 2015
 Location: Los Angeles, CA
 Thanked: 43 times
 Followed by:26 members
Solution:AbeNeedsAnswers wrote: ↑Fri Jun 05, 2020 6:21 pmIf Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =
A. Z + 1
B. Z^2 + 1
C. –Z^2 + 1
D. –Z^2 + Z + 1
E. – 2Z^2 + 1
C
Simplifying, we have:
Z + 1/Z  2Z = W/Z
Z + 1/Z = W/Z
Multiplying both sides by Z (which we can do since Z ≠ 0), we have:
Z^2 + 1 = W
Answer: C
Scott WoodburyStewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews