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655-705 (Hard)|   Algebra|      
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Bunuel
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What is the value of x ? (1) x^3 + x^2 + x = 0 (2) x = -2x 30 May 2023, 03:45
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Difficulty:

55% (hard)

Question Stats:

59% (01:21) correct 41% (01:26) wrong based on 150 sessions

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What is the value of x ?

(1) \(x^3+x^2+x=0\)
(2) \(x=-2x\)
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D
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hloonker
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What is the value of x ? (1) x^3 + x^2 + x = 0 (2) x = -2x 31 May 2023, 13:12
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hi so prompt 2 was easy.

how does one figure out that the X in prompt 1 also leads to zero?
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reed990
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What is the value of x ? (1) x^3 + x^2 + x = 0 (2) x = -2x 06 Jun 2024, 14:35
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hloonker
hi so prompt 2 was easy.

how does one figure out that the X in prompt 1 also leads to zero?
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­for (1), x^3+x^2+x = x (x^2+x+1)=x(x^2+x+(1/2)^2+1-(1/2)^2))=x((x+1/2)^2+3/4). (x+1/2)^2+3/4 will never be 0, thus, x equals to 0.­
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What is the value of x ? (1) x^3 + x^2 + x = 0 (2) x = -2x 06 Aug 2024, 01:12
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Please explain prompt 1 = 0

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ADARSHREDDY1
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What is the value of x ? (1) x^3 + x^2 + x = 0 (2) x = -2x 05 Dec 2024, 21:13
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Can someone please explain prompt 2
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What is the value of x ? (1) x^3 + x^2 + x = 0 (2) x = -2x 05 Dec 2024, 23:36
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Can someone please explain prompt 2
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What is the value of x ?

(1) \(x^3+x^2+x=0\)

Factorizing:

x(x^2 + x + 1) = 0

x = 0 or x^2 + x + 1 = 0

Since no real x satisfies x^2 + x + 1 = 0, we have only one solution: x = 0. Sufficient.

(2) \(x=-2x\)

Rearranging gives:

x + 2x = 0

3x = 0

x = 0

Sufficient.

Answer: D.

P.S. Pure algebraic questions are no longer a part of the DS syllabus of the GMAT.

DS questions in GMAT Focus encompass various types of word problems, such as:
  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won’t encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."

Check GMAT Syllabus for Focus Edition

You can also visit the Data Sufficiency forum and filter questions by OG 2024-2025, GMAT Prep (Focus), and Data Insights Review 2024-2025 sources to see the types of questions currently tested on the GMAT.

So, you can ignore this and similar questions.

Hope it helps.
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