write a quadratic equation with the roots 1/2 and -5

Question

write a quadratic equation with the roots 1/2 and -5

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Orla Orla 2 months 2021-08-04T19:37:32+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-04T19:38:38+00:00

    Answer:

    2x^{2} + 9x – 5 = 0

    Step-by-step explanation:

    // Use the Vijet’s theorem,

    // note that the kofficient before x^{2} = 1

    Sum of the roots is:

    1/2 + (-5) = – 4,5

    Product of the roots is:

    0,5 * (-5) = – 2,5

    Formation of quadratic equation:  

    x^{2} – (sum of the roots) x + product of the roots  =  0

    x^{2} – (-4,5) * x + (-2,5) = 0

    x^{2} + 4,5x -2,5 = 0

    // multiply both sides by 2

    2x^{2} + 9x – 5 = 0

    Make me the brainliest 😉

    0
    2021-08-04T19:38:55+00:00

    x = 1/2    or    x = -5

    2x – 1 = 0     or     x + 5 = 0

    (2x-1)(x+5) = 0

    2x² + 10x – x – 5 = 0

    2x² + 9x – 5 = 0

    Hope it helps!

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )