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NDA2015MathematicsQuadratic EquationActual

The number of real roots of the equation x^2-3|x|+2=0 is

Options

  1. A4
  2. B3
  3. C2
  4. D1

Correct answer

A. 4

Step-by-step solution

x ^2-3| x |+2=0 Case (i) when x 0 aligned & x^2-3 x+2=0 & (x-1)(x-2)=0 aligned x=1,2 (both roots satisfy the condition x 0) Case (ii) when x 0 aligned & x^2+3 x+2=0 & (x+1)(x+2)=0 & x=-1,-2( both roots satisfy the condition x 0) aligned So no. of real roots is 4 .

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