Multiple Choice Questions on If one root of the equation alpha x sup2 beta x gamma 0 is square of the other root then condition o........... 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 square of the other root then condition o...........

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

    β³+ γ²α²+ γ² α=3αβγ 

    Incorrect Answer

    β³+γα²+ γ² α=3αβγ 

    Correct Answer

    β³+ γα+ γα²=3αβγ 

    Incorrect Answer

    α³+β²γ+ γ²β=3αβγ 

    Incorrect Answer
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    Explanation:

    Let us consider roots are, p & p²
    P.O.R = P. P² = P³ =   γ/α          ……….(1)
    S.O.R = p + p² = -β/α            ………….(2)
     Do the cube of (2) and eliminate p on solving we get,
    β³+γα²+ γ² α=3αβγ 

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