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AP EAMCET202017 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

The roots of the equation ( |x^2-x-6 |=x+2 ) are

Options

  1. A(-2,1,4 )
  2. B(0,2,4 )
  3. C(0,1,4 )
  4. D(-2,2,4 )

Correct answer

D. (-2,2,4 )

Step-by-step solution

Given, ( |x^2-x-6 |=x+2 ) ( array ll & x^2-x-6=x+2 Or & x^2-x-6=-x-2 & x^2-2 x-8=0 or x^2=4 & (x=-2,4) or (x= 2) x= -2,2,4 array )

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