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6 September, 04:47

Y = - 4x2 - 24x - 29

+3
Answers (1)
  1. 6 September, 06:37
    0
    x = sqrt (7) / 2 - 3 or x = - 3 - sqrt (7) / 2

    Step-by-step explanation:

    Solve for x over the real numbers:

    -4 x^2 - 24 x - 29 = 0

    Divide both sides by - 4:

    x^2 + 6 x + 29/4 = 0

    Subtract 29/4 from both sides:

    x^2 + 6 x = - 29/4

    Add 9 to both sides:

    x^2 + 6 x + 9 = 7/4

    Write the left hand side as a square:

    (x + 3) ^2 = 7/4

    Take the square root of both sides:

    x + 3 = sqrt (7) / 2 or x + 3 = - sqrt (7) / 2

    Subtract 3 from both sides:

    x = sqrt (7) / 2 - 3 or x + 3 = - sqrt (7) / 2

    Subtract 3 from both sides:

    Answer: x = sqrt (7) / 2 - 3 or x = - 3 - sqrt (7) / 2
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