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AP EAMCET202022 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

The number of solutions for the equation x^2-5|x|+6=0 is .........

Options

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

Correct answer

A. 4

Step-by-step solution

Given equation aligned & x^2-5|x|+6=0 & |x|^2-5|x|+6=0 & (|x|-3)(|x|-2)=0 & |x|=2 or 3 & x= 2, 3 & aligned There are 4 solutions.

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