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26 Jul 2014, 09:59
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
53% (01:24) correct
47%
(01:34)
wrong
based on 1184
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Date
Time
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Not Attempted Yet
If \(x^2 + \frac{1}{x^2} = 4\), what is the value of \(x^4 + \frac{1}{x^4}\) ?
A. 2
B. 4
C. 6
D. 14
E. 16
Screenshot 2024-02-24 at 16.19.52.png [ 141.2 KiB | Viewed 16831 times ]
A. 2
B. 4
C. 6
D. 14
E. 16
Attachment:
Screenshot 2024-02-24 at 16.19.52.png [ 141.2 KiB | Viewed 16831 times ]
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26 Jul 2014, 10:09
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Reni
Squaring \(x^2 + \frac{1}{x^2} =4\) gives:
- \(x^4+2*x^2*\frac{1}{x^2}+\frac{1}{x^4}=16\);
\(x^4+2+\frac{1}{x^4}=16\);
\(x^4+\frac{1}{x^4}=14\)
Answer: D.
24 Feb 2024, 11:18
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Reni
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