3x² + 7x + 2 = 0 menggunakan 3 cara persamaan kuadrat​

3x² + 7x + 2 = 0 menggunakan 3 cara persamaan kuadrat​!

Penyelesaian:

Metode 1: Memfaktorkan Persamaan

3x² + 7x + 2 = 0

(3x+1) (x+2) = 0

* 3x + 1 = 0

 3x = -1

 x1 = -1/3

* x + 2 = 0

 x2 = -2

Metode 2: Menggunakan Rumus Kuadrat

3x² + 7x + 2 = 0

a = 3

b = 7

c = 2

x = (-b ± √b² – 4.a.c) / 2a

x = (-7 ± √7² – 4(3)(2)) / 2(3)

x = (-7 ± √49-24) / 6

x = (-7 ± √25)/6

x = (-7 ± 5) /6

x1 = (-7 + 5)/6 = -2/6 = -1/3

x2 = (-7 – 5)/6 = -12/6 = -2

Metode 3: Melengkapkan Kuadrat

3x² + 7x + 2 = 0

3x² + 6x + x + 2 = 0

3x (x + 2) + 1 (x + 2) = 0

(3x + 1) (x + 2) = 0

* 3x + 1 = 0

  3x = -1

  x1 = -1/3

* x + 2 = 0

  x2 = -2