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16 Sep 2014, 01:49
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
67% (01:59) correct
33%
(02:23)
wrong
based on 36
sessions
History
Date
Time
Result
Not Attempted Yet
If \((2y - 5)^2 = 361\), which of the following could be the value of \(y + 2\)?
A. 24
B. 19
C. 12
D. -7
E. -5
A. 24
B. 19
C. 12
D. -7
E. -5
16 Sep 2014, 01:49
Kudos
Bookmarks
Official Solution:
If \((2y - 5)^2 = 361\), which of the following could be the value of \(y + 2\)?
A. 24
B. 19
C. 12
D. -7
E. -5
The question asks for the value of \(y + 2\), given an equation for \(y\).
The first step is to solve for \(y\) in the given equation. Since the right side of this equation is a perfect square, it will be fastest to take the square root of both sides.
Doing so, we find: \((2y - 5) = \pm 19\). Note that the square root can be positive or negative.
We rewrite this equation as two equations, one for each root: \(2y - 5 = -19\) or \(2y - 5 = 19\).
We solve for \(y\) in one equation: \(2y = -14\), \(y = -7\).
We solve for \(y\) in the other equation: \(2y = 24\), \(y = 12\).
Now we can solve for \(y + 2\). Adding 2 to each of our solutions, we find that either \(y + 2 = -5\) or \(y + 2 = 14\).
Answer: E
If \((2y - 5)^2 = 361\), which of the following could be the value of \(y + 2\)?
A. 24
B. 19
C. 12
D. -7
E. -5
The question asks for the value of \(y + 2\), given an equation for \(y\).
The first step is to solve for \(y\) in the given equation. Since the right side of this equation is a perfect square, it will be fastest to take the square root of both sides.
Doing so, we find: \((2y - 5) = \pm 19\). Note that the square root can be positive or negative.
We rewrite this equation as two equations, one for each root: \(2y - 5 = -19\) or \(2y - 5 = 19\).
We solve for \(y\) in one equation: \(2y = -14\), \(y = -7\).
We solve for \(y\) in the other equation: \(2y = 24\), \(y = 12\).
Now we can solve for \(y + 2\). Adding 2 to each of our solutions, we find that either \(y + 2 = -5\) or \(y + 2 = 14\).
Answer: E
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