Matematika

Pertanyaan

Tenyuka Himpunan Penyelesaian Persamaan Kuadrat ×3-2×-15=0 Dengan cara
A.Memfaktorkan.
B.melengkapkan.
C.Rumus abc

1 Jawaban

  • a) x² - 2x - 15 = 0
    (x + 3) (x - 5) = 0
    x = -3 V x = 5

    b) x² - 2x - 15 = 0
    x² - 2x = 15
    x² - 2x + 1 = 15 + 1
    (x - 1)² = 16
    x - 1 = ±√16
    x - 1 = 4 V x - 1 = -4
    x = 5 V x = -3

    c) rumus abc
    x² - 2x - 15 = 0
    a = 1 ; b = -2 ; c = -15
    (-b ± √b² - 4ac) / 2a
    = (-(-2) ± √(-2)² - 4(1)(-15) ) / 2(1)
    = ( 2 ± √4 + 60) / 2
    = ( 2 ± √64) / 2
    = ( 2 ± 8 ) / 2
    x1 = (2 + 8) / 2 V x2 = ( 2 - 8) / 2
    x1 = 10/ 2 V x2 = -6 / 2
    x1 = 5 V x2 = -3

Pertanyaan Lainnya