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19 January, 04:30

If the quadratic formula is used to find the roots of the equation x^2-6x-19=0, the correct roots are?

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  1. 19 January, 04:46
    0
    X² + px + q = 0

    x² - 6x - 19 = 0

    x = 1 (-p + √p² - 4q)

    2

    x = 1 ( - (-6) + √ - (6) ² - 4 (-19)

    2

    x = 1 (6 + √-36 + 76)

    2

    x = 1 (6 + √40)

    2

    x = 1 (6 + √4 * 2 * 5)

    2

    x = 1 (6 + √4 √2 √5)

    2

    x = 1 (6 + 2 √2 √5)

    2

    x = 1 (6 + 2 √2 √5) x = 1 (6 - 2 √2 √5)

    2 2

    x = 1 (8 √2 √5) x = 1 (4 √2 √5)

    2 2

    x = 4 (0.5) (1.25) x = 2 (0.5) (1.25)

    x = 2.5 x = 1.25
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