Multiple Choice Questions on If one root of the equation alpha x sup2 beta x gamma 0 is five times of the other root then conditi........... for CDS Exam Preparation

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Multiple Choice Questions

If one root of the equation alpha x sup2 beta x gamma 0 is five times of the other root then conditi...........

Quantitative Aptitude (CDS) Quadratic Equations
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    If one root of the equation αx²+ βx+ γ=0 is five times of the other root then condition on α,β,γ. 

    β³+ γ²α²+ γ² α=25αβγ 

    Incorrect Answer

    5β³=36αγ

    Correct Answer

    β³+ γα+ γα²=3αβγ 

    Incorrect Answer

    α²+β²+ γ²=5αβγ 

    Incorrect Answer
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    Explanation:

    Let roots are α & 5α  
    So , S.O.R= α+5α=6α=-b/a             ………   (1)
    P.O.R =  α.5α=C/a
    5α²=  c/a              ……………….(2)
    On solving 1 & 2 and eliminating  α  
    we get  5β³=36 αγ

    By: bhavesh kumar singh
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