AP EAMCET202316 May 2023Evening ShiftMathematicsQuadratic EquationActual

If the equation x^4+7 x^3+18 x^2+20 x+8=0 has a repeated root, then that repeated root is

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Correct answer

A. -2

Step-by-step solution

Given equation is x^4+7 x^3+18 x^2+20 x+8=0 aligned & x^4+2 x^3+5 x^3+10 x^2+8 x^2+16 x+4 x+8=0 & (x+2) (x^3+5 x^2+8 x+4 )=0 & (x+2) (x^3+2 x^2+3 x^2+6 x+2 x+4 )=0 & (x+2)(x+2) (x^2+3 x+2 )=0 aligned so repeated roots =-2

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