Question

what choices are solutions for equation x^2-3x = -5/4

Answers

  1. Here’s the solution,

    =》

    {x}^{2} - 3x = - \dfrac{5}{4}

    =》

    {x}^{2} - 3x + \dfrac{5}{4} = 0

    now, let’s multiply the whole equation with 4

    =》

    4 {x}^{2} - 12x + 5 = 0

    =》

    4 {x}^{2} - 10x - 2x + 5= 0

    =》

    2x(2x - 5) - 1(2x - 5) = 0

    =》

    (2x - 1)(2x - 5) = 0

    so,

    Case 1. where, 2x – 5 = 0

    =》

    x = \dfrac{5}{2}

    case 2. where, 2x – 1 = 0

    =》

    x = \dfrac{1}{2}

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