Multiple Choice Questions on If alpha amp beta are the roots of the equation x sup2 8x 3 0 then find the value of 2 al........... for CDS Exam Preparation

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Multiple Choice Questions

If alpha amp beta are the roots of the equation x sup2 8x 3 0 then find the value of 2 al...........

Quantitative Aptitude (CDS) Quadratic Equations
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     If α & β  are the roots of the equation x²-8x+3=0 then find the value of 2α4β²+2α²β4

    4410

    Incorrect Answer

    1044

    Correct Answer

    1220

    Incorrect Answer

    1420

    Incorrect Answer
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    Explanation:

    α+ β= -b/a=8 

    α×β=c/a=3 
    2α4β²+2α²β4 = 2α^2 β^2 (α²+β²) = 2α^2 β^2 [(α+β)²-2×αβ] 
    Put the value of (α+β) & αβ we get = 1044

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