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If k#0 and k - (3 -2k^2)/k = x/k, then x =

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If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 24 Feb 2014, 22:50
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Question Stats:

56% (01:47) correct 44% (01:04) wrong based on 147 sessions
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If k\neq{0} and k - \frac{3 -2k^2}{k} = \frac{x}{k}, then x =

(A) -3 - k^2
(B) k^2 -3
(C) 3k^2 - 3
(D) k - 3 - 2k^2
(E) k - 3 + 2k^2

Problem Solving
Question: 111
Category: Algebra Second-degree equations
Page: 76
Difficulty: 500


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Expert Post
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Kudos [?]: 25024 [0], given: 2699

Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 24 Feb 2014, 22:50
Expert's post
SOLUTION

If k\neq{0} and k - \frac{3 -2k^2}{k} = \frac{x}{k}, then x =

(A) -3 - k^2
(B) k^2 -3
(C) 3k^2 - 3
(D) k - 3 - 2k^2
(E) k - 3 + 2k^2

k - \frac{3 -2k^2}{k} = \frac{x}{k};

Multiply by k: k^2 - (3 -2k^2) = x;

x=3k^2-3.

Answer: C.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 25 Feb 2014, 04:10
After Solving the equation , I got A
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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 25 Feb 2014, 22:26
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This post received
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k - \frac{3 -2k^2}{k} = \frac{x}{k};
After simplifying and canceling k in the denominator, we get: k^2 - 3 + 2k^2 = x;
3k^2 - 3 = x;

Ans is (C).
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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 26 Feb 2014, 01:10
2
This post received
KUDOS
Option C.
k-(3-2k^2)/k=x/k
Multiply both sides by k
k^2-3+2k^2=x
3k^2-3=x
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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 26 Feb 2014, 01:28
Thank You for kudos,WoundedTiger!
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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 01 Mar 2014, 03:12
Expert's post
SOLUTION

If k\neq{0} and k - \frac{3 -2k^2}{k} = \frac{x}{k}, then x =

(A) -3 - k^2
(B) k^2 -3
(C) 3k^2 - 3
(D) k - 3 - 2k^2
(E) k - 3 + 2k^2

k - \frac{3 -2k^2}{k} = \frac{x}{k};

Multiply by k: k^2 - (3 -2k^2) = x;

x=3k^2-3.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 08 Jul 2014, 21:17
Bunuel wrote:
SOLUTION

If k\neq{0} and k - \frac{3 -2k^2}{k} = \frac{x}{k}, then x =

(A) -3 - k^2
(B) k^2 -3
(C) 3k^2 - 3
(D) k - 3 - 2k^2
(E) k - 3 + 2k^2

k - \frac{3 -2k^2}{k} = \frac{x}{k};

Multiply by k: k^2 - (3 -2k^2) = x;

x=3k^2-3.

Answer: C.


I just added a step after the highlighted one to remove -ve sign :) . Rest all did same

k - \frac{3 -2k^2}{k} = \frac{x}{k};

k + \frac{2k^2 - 3}{k} = \frac{x}{k}
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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x = [#permalink] New post 08 Jul 2014, 22:55
Expert's post
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If k\neq{0} and k - \frac{3 -2k^2}{k} = \frac{x}{k}, then x =

(A) -3 - k^2
(B) k^2 -3
(C) 3k^2 - 3
(D) k - 3 - 2k^2
(E) k - 3 + 2k^2





You can also put in k = 1 in k - \frac{3 -2k^2}{k} = \frac{x}{k} to get x = 0.
When you put k = 1 in options, only (C) and (E) give x = 0.

Now put k = -1 in k - \frac{3 -2k^2}{k} = \frac{x}{k} to get x = 0.
When you put k = -1 in options, only (C) gives x = 0
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Re: If k#0 and k - (3 -2k^2)/k = x/k, then x =   [#permalink] 08 Jul 2014, 22:55
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