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OG: If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

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AbeNeedsAnswers: Master | Next Rank: 500 Posts; Posts: 394; Joined: Sun Jul 02, 2017 10:59 am; Thanked: 1 times; Followed by:5 members

OG: If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

by AbeNeedsAnswers » Fri Jun 05, 2020 6:21 pm

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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

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Source: Beat The GMAT — Problem Solving | Fri Jun 05, 2020 6:21 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

Re: OG: If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

by Jay@ManhattanReview » Sun Jun 07, 2020 8:35 pm

AbeNeedsAnswers wrote: ↑
Fri Jun 05, 2020 6:21 pm
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

So we have Z + (1 – 2Z^2)/Z = W/Z

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
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Manhattan Review GMAT Prep

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: OG: If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

by Brent@GMATPrepNow » Mon Jun 08, 2020 4:47 am

AbeNeedsAnswers wrote: ↑
Fri Jun 05, 2020 6:21 pm
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

Given: z + (1 - 2z²)/z = w/z

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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: OG: If Z is not equal to 0 and Z + (1 – 2Z^2)/Z = W/Z, then W =

by Scott@TargetTestPrep » Thu Jun 11, 2020 12:57 pm

AbeNeedsAnswers wrote: ↑
Fri Jun 05, 2020 6:21 pm
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

Solution:

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

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