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

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Joined: 02 Sep 2009
Posts: 46207
If x^2 - 2*2^(1/2)*x = -2, then x^2 = [#permalink]

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New post 10 Sep 2017, 05:41
1
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:03) correct 28% (01:54) wrong based on 54 sessions

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Joined: 23 Jan 2017
Posts: 3
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
1
The expression can be rewritten as \((x-\sqrt{2})^2 = 0\)
=>\(x^2 = 2\)
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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:

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

\(x = \sqrt{2}\)

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

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