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andrehaui
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How many solutions in the real numbers the equation = - have 18 Apr 2007, 06:00
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How many solutions in the real numbers the equation = - have ?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4



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vikramjit_01
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How many solutions in the real numbers the equation = - have 18 Apr 2007, 07:37
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Either the questions from a very high difficulty level, since I can't understand it, or it's been typed incorrectly :wink:
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andrehaui
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How many solutions in the real numbers the equation = - have 18 Apr 2007, 07:42
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Sorry mate, here we go again with the equation:

sqrt x-1 = - sqrt x^2-1
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vikramjit_01
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How many solutions in the real numbers the equation = - have 18 Apr 2007, 12:20
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I get (B)
I picked numbers and it only worked out with x = 1.

when x = 1, we get
sqrt(1 - 1) = -sqrt(1^2 - 1)
sqrt(0) = -sqrt(0) (as sqrt(0) = 0)

This didn't work x = 0, 1.1, 0.9.
No use trying negative numbers here because the LHS won't be a real number then.



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