Multiple Choice Questions on It is given that the two equations ax sup2 bx c and cx sup2 bx a have one common root then find........... for CDS Exam Preparation

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Multiple Choice Questions

It is given that the two equations ax sup2 bx c and cx sup2 bx a have one common root then find...........

Quantitative Aptitude (CDS) Quadratic Equations
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    It is given that the two equations ax²+bx+c  and cx²+bx+a have one common root then find the value of  a + b 

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    Explanation:

    let the common root = α
    α²+a.α+b=0       ……….. (1)
     α²+bα+a=0
    On solving both equation we get  α=1 putting this in equation (1)
    We get  a + b = -1 

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