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16 May, 06:26

Solve the equation

-13/4 - x = 1/2x - 1

+3
Answers (2)
  1. 16 May, 06:51
    0
    x = 2 or 1/4

    Step-by-step explanation:

    -13/4 - x = 1/2x - 1

    Collect like terms

    -13/4+1=1/2x+x

    Using LCM

    (-13+4) / 4 = (1+2x²) / 2x

    9/4 = (1+2x²) / 2x

    Cross multiply

    9 (2x) = 4 (1+2x²)

    18x=4+8x²

    Turn into quadratic and solve

    8x²-18x+4

    Using formulae method

    -b± (√b²-4ac) / 2a

    Where a=8, b = - 18 and c=4

    ( - (-18) ± (√ (-18) ²-4 (8) (4)) / 2 (8)

    (18± (√324-128)) / 16

    (18±√196) / 16

    (18±14) / 16

    (18+14) / 16 or (18-14) / 16

    32/16 or 4/16

    2 or 1/4
  2. 16 May, 08:03
    0
    Answer:2
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