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Manipal MET2010MathematicsQuadratic Equation

If a, b, c are three distinct positive real numbers of real roots of a x^2+2 b|x|-c=0 is

Options

  1. A4
  2. B2
  3. C0
  4. DNone of these

Correct answer

B. 2

Step-by-step solution

a x^2+2 b|x|-c=0 a|x|^2+2 b|x|-c=0 |x|= -2 b 4 b^2+4 a c 2 =-b b^2+a c Since, a, b, c are positive. So, |x|=-b+ b^2+a c x has two real values, neglecting |x|=-b- b^2+a c , as |x| 0

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