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505-555 Level|   Algebra|      
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Bunuel
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If x^2 - 2*2^(1/2)*x = -2, then x^2 = 10 Sep 2017, 05:41
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C
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Difficulty:

15% (low)

Question Stats:

82% (01:25) correct 18% (02:19) wrong based on 95 sessions

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

A. -1
B. 1
C. 2
D. 4
E. 0
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C
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naman90
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If x^2 - 2*2^(1/2)*x = -2, then x^2 = 10 Sep 2017, 05:53
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The expression can be rewritten as \((x-\sqrt{2})^2 = 0\)
=>\(x^2 = 2\)
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generis
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If x^2 - 2*2^(1/2)*x = -2, then x^2 = 10 Sep 2017, 18:10
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Bunuel
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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If x^2 - 2*2^(1/2)*x = -2, then x^2 = 14 Sep 2017, 10:43
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Bunuel
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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If x^2 - 2*2^(1/2)*x = -2, then x^2 = 14 Sep 2017, 21:49
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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.
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Bunuel
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