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4 February, 22:12

The sum of the roots of 8x² - 2x = 1 is:

-1/4

1/4

-1/8

+5
Answers (2)
  1. 5 February, 00:18
    0
    8x^2-2x-1=0

    8x^2-4x+2x-1=0

    4x (2x-1) + 1 (2x-1) = 0

    (4x+1) (2x-1) = 0

    x=1/2 and - 1/4

    So the sum is 1/2-1/4=1/4

    1/4
  2. 5 February, 01:49
    0
    8x^2 - 2x = 1

    8x^2 - 2x - 1 = 0

    (2 + / - √ (-2) ^2 - 4 (8) (-1)) / 2 (8)

    (2 + / - √4 + 32) / 16

    (2 + / - √36) / 16

    (2 + / - 6) / 16

    2+6/16

    1/2

    2-6/16

    -1/4

    now since they want the sum of the roots

    1/2 - 1/4

    sum = 1/4
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