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24 Feb 2013, 16:57
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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:
67% (01:21) correct
33%
(01:36)
wrong
based on 725
sessions
History
Date
Time
Result
Not Attempted Yet
If (x - 3)^2 = 225, which of the following could be the value of x + 3 ?
(A) -15
(B) -12
(C) -9
(D) 15
(E) 18
in this question if we take the square of both sides we have\(x - 3= 15\)so why the explanation says: \(x - 3 = 15\) and \(x - 3 = -15\) ?????
(A) -15
(B) -12
(C) -9
(D) 15
(E) 18
in this question if we take the square of both sides we have\(x - 3= 15\)so why the explanation says: \(x - 3 = 15\) and \(x - 3 = -15\) ?????
24 Feb 2013, 21:03
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carcass
If \((x - 3)^2 = 225\), which of the following could be the value of \(x + 3\) ?
(A) -15
(B) -12
(C) -9
(D) 15
(E) 18
in this question if we take the square of both sides we have\(x - 3= 15\)so why the explanation says: \(x - 3 = 15\) and \(x - 3 = -15\) ?????
(A) -15
(B) -12
(C) -9
(D) 15
(E) 18
in this question if we take the square of both sides we have\(x - 3= 15\)so why the explanation says: \(x - 3 = 15\) and \(x - 3 = -15\) ?????
Honestly carcass, that's a newbie mistake and you should not be making it!
\((x - 3)^2 = 15^2\)
When you take the root, you get
|x-3| = 15
and hence you get x = 18 or -12
Alternatively,
\((x - 3)^2 - 15^2 = 0\)
(x - 3 - 15)(x - 3 + 15) = 0
x = 18 or -12
General Discussion
24 Feb 2013, 18:14
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carcass
If \((x - 3)^2 = 225\), which of the following could be the value of \(x + 3\) ?
(A) -15
(B) -12
(C) -9
(D) 15
(E) 18
in this question if we take the square of both sides we have\(x - 3= 15\)so why the explanation says: \(x - 3 = 15\) and \(x - 3 = -15\) ?????
(A) -15
(B) -12
(C) -9
(D) 15
(E) 18
in this question if we take the square of both sides we have\(x - 3= 15\)so why the explanation says: \(x - 3 = 15\) and \(x - 3 = -15\) ?????
both 18 and -12 satisfy the given equation
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