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ALGEBRA

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Solve the equation. (Enter solutions from smallest to largest. If there is no solution, enter NONE in the answer boxes.)
4x2 = 19x + 5
x =
x =

  • ALGEBRA - ,

    4x^2 = 19x + 5.

    4x^2 - 19x - 5 = 0
    Factor using AC method or Quad. Formula:
    AC = 4 * (-5) = -20 = 1*(-20)

    4x^2 + (x-20x) - 5 = 0

    Arrange the tems to form 2 factorable binomials:
    (4x^2+x) + (-20x-5) = 0
    x(4x+1) - 5(4x+1)
    (4x+1)(x-5) = 0

    4x+1 = 0
    4x = -1
    X = -1/4.

    x-5 = 0
    X =5.

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