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22 August, 19:39

Complete the equivalent equation for - 7x - 60 = x2 + 10x.

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Answers (2)
  1. 22 August, 19:45
    0
    x = - 5, - 12
  2. 22 August, 20:05
    0
    ther are two solutions

    1. x = - 5

    2. x = - 12

    Step-by-step explanation:

    -60 + - 1 = - 61

    -30 + - 2 = - 32

    -20 + - 3 = - 23

    -15 + - 4 = - 19

    -12 + - 5 = - 17

    -10 + - 6 = - 16

    -6 + - 10 = - 16

    -5 + - 12 = - 17

    -4 + - 15 = - 19

    -3 + - 20 = - 23

    -2 + - 30 = - 32

    -1 + - 60 = - 61

    1 + 60 = 61

    2 + 30 = 32

    3 + 20 = 23

    4 + 15 = 19

    5 + 12 = 17

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 5 and 12

    x2 + 5x + 12x + 60

    Step-4 : Add up the first 2 terms, pulling out like factors:

    x • (x+5)

    Add up the last 2 terms, pulling out common factors:

    12 • (x+5)

    Step-5 : Add up the four terms of step 4:

    (x+12) • (x+5)

    Which is the desired factorization

    the two solutions are:

    x = (-17+√49) / 2 = (-17+7) / 2 = - 5.000

    or:

    x = (-17-√49) / 2 = (-17-7) / 2 = - 12.000
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