soal: 2X pngkat dua + 5X + 3 = 0 1) memaktorkan 2) melengkapkan bentuk kuadrat sempurna dan 3) rumus abc tolong bantu y pliss help me..:')

PERSAMAAN KUADRAT

2x² + 5x + 3 = 0
• memfaktorkan
2x² + 5x + 3 = 0
2x² + 2x + 3x + 3 = 0
2x(x + 1) + 3(x + 1) = 0
(2x + 3)(x + 1) = 0
x = -3/2 atau x = -1

• melengkapkan kuadrat
2x² + 5x + 3 = 0
(√2 x)² + 2(√2 x)(5/2√2) + (5/(2√2))² = -3 + (5/(2√2))²
(√2 x + (5/(2√2))² = -3 + 25/8
√2 x + 5/(2√2) = ± √(1/8)
√2 x = ± 1/(2√2) - 5/(2√2)
x = [-5/(2√2 ± 1/(2√2)] / √2
x = [-5/4 ± 1/4]

x1 = -5/4 + 1/4 = -1
x2 = -5/4 - 1/4 = -6/4 = -3/2

• rumus abc
2x² + 5x + 3 = 0
a = 2
b = 5
c = 3

x1.2 = (-b ± √(b² - 4ac))/2a
x1.2 = (-5 ± √(25 - 24))/4
x1.2 = (-5 ± 1)

x1 = (-5 + 1)/4 = -1
x2 = (-5 - 1)/4 = -3/2