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8 February, 02:11

The sum of the roots of x² + 6x - 55 = 0 is:

A. 6

B. - 6

C. - 55

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Answers (1)
  1. 8 February, 02:34
    0
    To find the roots, we need to factorize the quadratic expression

    x² + 6x - 55 = 0

    x² + 11x - 5x - 55 = 0

    x (x + 11) - 5x - 55 = 0

    x (x + 11) - 5 (x + 11) = 0

    (x - 5) (x + 11) = 0

    Then solve the value of x

    x - 5 = 0

    x = 5

    or

    x + 11 = 0

    x = - 11

    The roots are - 11 and 5

    Sum of the roots

    sum = - 11 + 5

    sum = - 6

    The answer is option b
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