Matematika

Pertanyaan

Tentukan Himpunan
a. x²+12=7x
b. 3x²+5x = 2
c. 2x-3>5
d. 5-3x<2
e. x²+3x>4
f. 2x²-11x+5<0

1 Jawaban

  • a. x² + 12 - 7x = 7x - 7x
    x² - 7x + 12 = 0
    (x - 3)(x - 4)
    x = 3 , x = 4

    b. 3x² + 5x - 2 = 0
    (3x - 1)(x + 2)
    x = 1/3 , x = -2

    c. 2x - 3 + 3 > 5 + 3
    2x > 8
    x > 8/2
    x > 4

    d. 5 - 3x < 2
    5 - 5 - 3x < 2 - 5
    - 3x < -3
    x > 1

    e. x² + 3x - 4 > 4 - 4
    x² + 3x - 4 > 0
    (x - 1)(x + 4)
    x = 1 , x = -4

    f. 2x² - 11x + 5 < 0
    (2x - 1)(x - 5)
    x = 1/2 , x = 5

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