Find the value of k such that the quadratic polynomials x2-(k+6)x+2(2k+1) as sum of the zeroes as the half of their product

Question

Find the value of k such that the quadratic polynomials x2-(k+6)x+2(2k+1) as sum of the zeroes as the half of their product

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Adalyn 1 week 2021-10-11T18:46:47+00:00 1 Answer 0

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    2021-10-11T18:47:49+00:00

    Answer:

      k = 5

    Step-by-step explanation:

    The sum of the zeros is the opposite of the coefficient of x, so is (k+6).

    The product of zeros is the constant term, 2(2k+1), so half their product is (2k+1).

    The problem statement asks us to find k so that these values are the same:

      k +6 = 2k +1

      5 = k . . . . . . . . subtract k+1

    The value of k is 5.

    _____

    The zeros are 5.5±√8.25. Their sum is 11; their product is 22.

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