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NDA2019MathematicsQuadratic EquationActual

What are the roots of the equation |x^2-x-6 |=x+2 ?

Options

  1. A-2,1,4
  2. B0,2,4
  3. C0,1,4
  4. D-2,2,4

Correct answer

D. -2,2,4

Step-by-step solution

aligned & Given, |x^2-x-6 |=x+2 & x^2-x-6=x+2 and x^2-x-6=-(x+2) & x^2-2 x-8=0 & x^2-x-6=-x-2 & x^2-4 x+2 x-8=0 & x^2=4 & x(x-4)+2(x-4)=0 & x=+2,-2 & x=4,-2 & x=-2,2,4 aligned

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