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If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x?
A) -2
B) 0
C) 1
D) 3
E) 5
A) -2
B) 0
C) 1
D) 3
E) 5
A quick approach is to simply test the answer choicesharsh8686 wrote:If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x?
A) -2
B) 0
C) 1
D) 3
E) 5
A) -2 No good. The absolute value of something cannot be negative
B) 0 Plug in to get |0² - 6| = 0. Doesn't work.
C) 1 Plug in to get |1² - 6| = 1. Doesn't work.
D) 3 Plug in to get |3² - 6| = 3. WORKS!!!
Answer: D
Cheers,
Brent
