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What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2

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Bunuel
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What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   23 Sep 2018, 21:12
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What is the value of x?


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

(2) \((x + 1)^2 = x^2\)
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D
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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   28 Sep 2018, 23:10
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Statement 1:
\(2x+1=0\)
We have an equation with one variable, which will give us only one solution --> Sufficient

Statement 2:
\((x+1)^2 = x^2\)
The two \(x^2\) will cancel out, leaving us with an equation with one variable. Again, there's no need for calculations since they would make us waste time. --> Sufficient

Answer: D
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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   29 Sep 2018, 05:47
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Bunuel wrote:
What is the value of x?


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

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


Question: What is the value of x?

Statement 1: \(2x + 1 = 0\)
\(i.e. x = -1/2\)
SUFFICIENT

Statement 2: \((x + 1)^2 = x^2\)

i.e. \(x+1 = -x\)
i.e. \(i.e. x = -1/2\)
SUFFICIENT


Answer: Option D
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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   11 Mar 2021, 22:11
EducationAisle GMATinsight if for (2) we had \((x+1)^2 = x\) then would this statement be insufficient? Upon simplification we would get \( x^2 + x + 1 = 0\)
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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   11 Mar 2021, 22:15
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Hoozan wrote:
EducationAisle GMATinsight if for (2) we had \((x+1)^2 = x\) then would this statement be insufficient? Upon simplification we would get \( x^2 + x + 1 = 0\)


Hoozan

For \( x^2 + x + 1 = 0\) compared with \( ax^2 + bx + c = 0\)

the Discriminant, \(b^2-4ac\) = \(1^2-4*1*1 = -3\)

Negative discriminant of a quadratic equation would mean that roots are NON-REAL i.e. NO SOLUTION
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What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   12 Mar 2021, 00:28
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x =?

Statement 1:
\(2x + 1 = 0\)
\(=> x = -1/2\)
Statement 1 is Sufficient.

Statement 2:
\((x + 1)^2 = x^2\)
\(x^2 + 2x + 1 = x^2\)
\(=> 2x + 1 = 0\) (cutting \(x^2\) on both sides)
\(=> x = -1/2\)
Statement 2 is also Sufficient.
So, Correct answer is option D.
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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink] New post   13 Jun 2022, 20:08
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Re: What is the value of x? (1) 2x + 1 = 0 (2) (x + 1)^2 = x^2 [#permalink]
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