Post a New Question

math

posted by on .

factorizr.

1) x^2=5x-6
2) 6x^2-20=-7x
3) 6x^2-7x=-2

  • math - ,

    1. x^2 = 5x-6,
    x^2 - 5x + 6 = 0,
    (x-2)(x-3) = 0.

    x-2 = 0.
    x = 2.

    (x-3) = 0,
    x = 3.

    Solution Set: x = 2, and 3.

    2. 6x^2 - 20 = - 7x,
    6x^2 + 7x -20 = 0,
    Use AC Method:
    A*C = 6*(-20) = -120 = -4*30 = -5*24 =
    -6*20 = -8*15.
    Select the factored pair whose sum =
    the coefficient of x(7):
    6x^2 - 8x+15x - 20 = 0,
    Group the 4 terms into 2 factorable pairs:
    (6x^2-8x) + (15x-20) = 0,
    2x(3x-4) + 5(3x-4) = 0,
    (3x-4)(2x+5) = 0,

    3x-4 = 0,
    3x = 4,
    x = 4/3 = 1 1/3.

    2x+5 = 0,
    2x = -5.
    x = -5/2 = -2 1/2.

    Solution Set: x = 1 1/3, and -2 1/2.

    3. Use same procedure as problem 2 and get:
    x = 2/3, and 1/2.

Answer This Question

First Name:
School Subject:
Answer:

Related Questions

More Related Questions

Post a New Question