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24 November, 04:12

Consider the following equation. 0 = x2 - 10x - 27

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Answers (2)
  1. 24 November, 05:15
    0
    x = 5 + 2 sqrt (13) or x = 5 - 2 sqrt (13)

    Step-by-step explanation:

    Solve for x over the real numbers:

    0 = x^2 - 10 x - 27

    0 = x^2 - 10 x - 27 is equivalent to x^2 - 10 x - 27 = 0:

    x^2 - 10 x - 27 = 0

    Add 27 to both sides:

    x^2 - 10 x = 27

    Add 25 to both sides:

    x^2 - 10 x + 25 = 52

    Write the left hand side as a square:

    (x - 5) ^2 = 52

    Take the square root of both sides:

    x - 5 = 2 sqrt (13) or x - 5 = - 2 sqrt (13)

    Add 5 to both sides:

    x = 5 + 2 sqrt (13) or x - 5 = - 2 sqrt (13)

    Add 5 to both sides:

    Answer: x = 5 + 2 sqrt (13) or x = 5 - 2 sqrt (13)
  2. 24 November, 07:03
    0
    x = - 27/8

    Step-by-step explanation:

    First lets rearrange - -> Changed x2 to 2x:

    0 = 2x - 10x - 27

    Next lets simplify more:

    0 = - 8x - 27

    Now lets add 8x to the 0 and 27 to that:

    0 + 8x + 27 = 0

    So we have:

    8x + 27 = 0

    Lets minus the 27 from the 0:

    8x = 0 - 27

    Now lets divide both sides by 8 to get:

    x = - 27/8
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