What is the range of the solutions to the equation |x^2 - 1| = 0 ?
A. 0
B. 1
C. 2
D. 3
E. 5
OA C
Source: Veritas Prep
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What is the range of the solutions to the equation |x^2 –
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BTGmoderatorDC
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Brent@GMATPrepNow
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If |x² - 1| = 0, then we can be certain that: x² - 1 = 0BTGmoderatorDC wrote:What is the range of the solutions to the equation |x² - 1| = 0 ?
A. 0
B. 1
C. 2
D. 3
E. 5
Add 1 to both sides: x² = 1
So, EITHER x = 1 OR x = -1
Range of solutions = 1 - (-1) = 2
Answer: C
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Brent
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Scott@TargetTestPrep
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The only way |x^2 - 1| = 0 is if x^2 - 1 = 0. Let's solve it:BTGmoderatorDC wrote:What is the range of the solutions to the equation |x^2 - 1| = 0 ?
A. 0
B. 1
C. 2
D. 3
E. 5
OA C
Source: Veritas Prep
x^2 - 1 = 0
(x - 1)(x + 1) = 0
x = 1 or x = -1
Thus, the range is 1 - (-1) = 2.
Answer: C
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