Multiple Choice Questions on If a amp b are the roots of the equation x sup2 px q 0 then the value of a4 b4 is ........ for CDS Exam Preparation

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Multiple Choice Questions

If a amp b are the roots of the equation x sup2 px q 0 then the value of a4 b4 is ........

Quantitative Aptitude (CDS) Quadratic Equations
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    If a & b are the roots of the equation x² + px + q = 0 then the value of a4 +b4  is .

     p4 - 4p²q + 2q² 

    Correct Answer

     p4 - 4pq + q²

    Incorrect Answer

     p4 - 2p²q² + q4
     

    Incorrect Answer

    p4 - 4p²q² + q²

    Incorrect Answer
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    Explanation:

    a + b = -P/1= -P    , a . b =q 
    a4 + b4 = ( a²+ b² )² - 2a²b²
    [ ( a + b )² - 2ab ]² - 2 (ab)^2    
    = [ ( - p )²-2.q]²-2q²
    =p^4-4p^2 q+2q^2

    By: bhavesh kumar singh
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