AP EAMCET2007MathematicsQuadratic Equation

If , , are the roots of x^3-2 x^2+3 x-4=0 , then the value of ^2 ^2+ ^2 ^2+ ^2 ^2 is

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Correct answer

A. -7

Step-by-step solution

If , , are the roots of the equation x^3-2 x^2+3 x-4=0 , then aligned & + + = 2 1 =2 & + + =3 & and & =4 & aligned We know that ^2 ^2+ ^2 ^2+ ^2 ^2 aligned & =( + + )^2-2( )( + + ) & =(3)^2-2(4)(2) & =9-16 & =-7 aligned

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