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If equation is x2_6x+a it's zeroes …

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If equation is x2_6x+a it's zeroes is alpha and bita given 3a(alpha)+2b(bita)=20 find the value of a

    • Posted by Jatin Jatin Rankumar 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Krishna Kireeti 6 years, 10 months ago

    For convenience, iam using a for alpha and b for beta. According to the question, 3a+2b=20 This can also be written as 2a+2b+a=20 So, 2(a+b)+a=20. Since a+b=6, 2(a+b)+a=12+a=20, a=8 Upon solving, b=-2 Therefore alpha=8 and Beta = -2 Here our assumption of a for alpha and b for beta ends. Now ALPHA×BETA=c/a 8×-2=a Therefore, a=-16

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