find the value of k so that the zeroes of qudratic polynomial 3ײ-k×+14 are in ratios 7:6

Question

find the value of k so that the zeroes of qudratic polynomial 3ײ-k×+14 are in ratios 7:6

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Eden 3 weeks 2021-10-08T04:47:19+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-08T04:48:40+00:00

    Answer:

    gbdhvhjhtihetoiutbbiiy

    0
    2021-10-08T04:49:13+00:00

    Answer:

    let the zeros of quadratic polynomial are a &b

    given, a/b = 7/6

    a= 7b/6………(1)

    sum of zeros a+b = -( coefficient of x)/(coefficient of x²)

    a+b = k/3……….(2)

    hence products of zeros a×b= constant /( coefficient of x²)

    a×b=14/3

    for equn.1

    (7b/6)×b= 14/3

    b²= (14/3)×(6/7)

    b²=4

    b= +2&-2

    hence a=7/3& -7/3

    from equn. (2)

    value of k are… 13 & -1

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