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24 Apr 2024, 01:30
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B
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Difficulty:
15%
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Question Stats:
76% (00:37) correct
24%
(00:46)
wrong
based on 280
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How many values of \(k\) satisfy \(k*|k| = 4\)?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
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04 May 2024, 14:30
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Official Solution:
How many values of \(k\) satisfy \(k*|k| = 4\)?
A. 0
B. 1
C. 2
D. 3
E. 4
Notice that \(k\) cannot be negative because in this case \(k * |k| = (\text{negative})(\text{positive}) = \text{negative} \neq 4\). Therefore, \(k\) must be positive. In this scenario, \(|k| = k\) and we'd have \(k *k = 4\), which gives \(k = 2\) (remember \(k\) is positive so it cannot be \(-2\)). Thus, only one value of \(k\) satisfies \(k * |k| = 4\).
Answer: B
How many values of \(k\) satisfy \(k*|k| = 4\)?
A. 0
B. 1
C. 2
D. 3
E. 4
Notice that \(k\) cannot be negative because in this case \(k * |k| = (\text{negative})(\text{positive}) = \text{negative} \neq 4\). Therefore, \(k\) must be positive. In this scenario, \(|k| = k\) and we'd have \(k *k = 4\), which gives \(k = 2\) (remember \(k\) is positive so it cannot be \(-2\)). Thus, only one value of \(k\) satisfies \(k * |k| = 4\).
Answer: B
General Discussion
24 Apr 2024, 02:00
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Bunuel
|k| is a non-negative value. As the product, \(k *|k|\) is positive, we can infer that \(k\) is positive.
Hence, we can only have \(1\) value of \(k, k = 2\).
Option B
