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If x^2 - 2*2^(1/2)*x = -2, then x^2 =

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Expert Post
Math Expert
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V
Joined: 02 Sep 2009
Posts: 41875

Kudos [?]: 128463 [0], given: 12173

If x^2 - 2*2^(1/2)*x = -2, then x^2 = [#permalink]

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New post 10 Sep 2017, 05:41
Expert's post
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A
B
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D
E

Difficulty:

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Question Stats:

75% (01:03) correct 25% (01:40) wrong based on 32 sessions

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Kudos [?]: 128463 [0], given: 12173

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Intern
Intern
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B
Joined: 23 Jan 2017
Posts: 3

Kudos [?]: 1 [1], given: 14

Re: If x^2 - 2*2^(1/2)*x = -2, then x^2 = [#permalink]

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New post 10 Sep 2017, 05:53
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The expression can be rewritten as \((x-\sqrt{2})^2 = 0\)
=>\(x^2 = 2\)

Kudos [?]: 1 [1], given: 14

Director
Director
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P
Joined: 22 May 2016
Posts: 797

Kudos [?]: 251 [0], given: 543

If x^2 - 2*2^(1/2)*x = -2, then x^2 = [#permalink]

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New post 10 Sep 2017, 18:10
Bunuel wrote:
If \(x^2 - 2\sqrt{2}*x = -2\), then \(x^2 =\)

A. -1
B. 1
C. 2
D. 4
E. 0

\(x^2 - 2\sqrt{2}*x = -2\)

\(x^2 - 2\sqrt{2}x + 2 = 0\)

Factor the expression:

\((x -
\sqrt{2})(x -
\sqrt{2}) = 0\)

\(x = \sqrt{2}\)

\(x^2 = 2\)

Kudos [?]: 251 [0], given: 543

Expert Post
Target Test Prep Representative
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S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1546

Kudos [?]: 826 [0], given: 5

Re: If x^2 - 2*2^(1/2)*x = -2, then x^2 = [#permalink]

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New post 14 Sep 2017, 10:43
Bunuel wrote:
If \(x^2 - 2\sqrt{2}*x = -2\), then \(x^2 =\)

A. -1
B. 1
C. 2
D. 4
E. 0


We can simplify the given equation:

x^2 - 2√2x + 2 = 0

(x - √2)(x - √2) = 0

(x -√2)^2 = 0

x - √2 = 0

x = √2

Since x = √2, x^2 = 2.

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
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Kudos [?]: 826 [0], given: 5

Manager
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Joined: 04 May 2014
Posts: 118

Kudos [?]: 8 [0], given: 58

Location: India
WE: Sales (Mutual Funds and Brokerage)
Re: If x^2 - 2*2^(1/2)*x = -2, then x^2 = [#permalink]

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New post 14 Sep 2017, 21:49
LHS=RHS
x²−2√2∗x=−2
From answer choices, we can plug in values of x²
start from c
x²=2
or x=√2.
2-2√2*√2=2-4=-2=Answer.

Kudos [?]: 8 [0], given: 58

Re: If x^2 - 2*2^(1/2)*x = -2, then x^2 =   [#permalink] 14 Sep 2017, 21:49
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