AP EAMCET202421 May 2024Evening ShiftMathematicsQuadratic EquationActual

The equation x^4-x^3-6 x^2+4 x+8=0 has two equal roots. If , are the other two roots of this equation then ^2+ ^2=

Options

Correct answer

B. 5

Step-by-step solution

x^4-x^3-6 x^2+4 x+8=0 By Hit and trial x=2 is a root of the equation (x-2) (x^3+x^2-4 x-4 )=0 Again x=2 is a root of the equation aligned & (x-2)^2 (x^2+3 x+2 )=0 & (x-2)^2(x-1)(x+2)=0 x=2,2,-2,1 & =-2, =1 ^2+ ^2=5 aligned

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