2x^2-5+3=0 tolong pake cara pemfaktoran,rumus dan kuadrat sempurna makasih banyak:)

Bab Persamaan Kuadrat
Matematika SMP Kelas VIII

2x² - 5x + 3 = 0

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

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

x12 = (-b +- √(b² - 4ac))/2a
      = (- (-5) +- √((-5)² - 4 . 2 . 3))/(2 . 2)
      = (5 +- √(25 - 24))/4
      = (5 +- 1)/4

x1 = (5 + 1)/4
     = 6/4
     = 3/2

x2 = (5 - 1)/4
     = 4/4
     = 1

melengkapkan kuadrat
2x² - 5x + 3 = 0
2x² - 5x = -3
x² - 5x/2 = -3/2
(x - 5/4)² = -3/2 + 25/16
(x - 5/4)² = -24/16 + 25/16
(x - 5/4)² = 1/16
x - 5/4 = √(1/16)
x = 5/4 +- 1/4

x1 = 5/4 + 1/4
     = 6/4
     = 3/2

x2 = 5/4 - 1/4
     = 4/4
     = 1