Tentukan hp dengan rumus ABC a. X^2-4x+2=0 b. 4x^2-4-5=0

Materi : Persamaan Kuadrat

Pembahasan :
x² - 4x + 2 = 0

a = 1 ; b = -4 ; c = 2

D = b² - 4ac
D = (-4)² - 4(1)(2)
D = 16 - 8
D = 8

X1 = (-b + √D)/2a
X1 = (4 + √8)/2
X1 = (4 + 2√2)/2
X1 = 2 + √2

X2 = (-b - √D)/2a
X2 = (4 - √8)/2
X2 = (4 - 2√2)/2
X2 = 2 - √2

Hp : {(2 - √2) , (2 + √2)}

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4x² - 4x - 5 = 0

a = 4 ; b = -4 ; c = -5

D = b² - 4ac
D = (-4)² - 4(4)(-5)
D = 16 + 80
D = 96

X1 = (-b + √D)/2a
X1 = (4 + √96)/2.4
X1 = (4 + 4√6)/8
X1 = (1 + √6)/2

X2 = (-b - √D)/2a
X2 = (4 - √96)/2.4
X2 = (4 - 4√6)/8
X2 = (1 - √6)/2

Hp : {(1 - √6)/2 , (1 + √6)/2}