100 Bug Doodles

100 Bug Doodles

Matematika Kuis +50:
-5x²+10x+20 = 0
Lanjutin dgn melengkapkan kuadrat sempurna

Kuis +50:
-5x²+10x+20 = 0
Lanjutin dgn melengkapkan kuadrat sempurna

Jawaban:

Persamaan kuadrat

-5x² + 10x + 20 = 0 --> x (-1)

5x² - 10x - 20 = 0 ---> x (1/5)

x² - 2x - 4 = 0

a = 1 , b = -2 dan c = -4

..

misal;

d = b/2a

d = -2/2(1) = -2/2 = -1

e = c - (b²/4a)

e = -4 - (-2)²/4(1))

e = -4 - (4/4)

e = -4-1

e = -5

# Perhitungan akar akar

a(x + d)² + e = 0

1(x + (-1))² + (-5) = 0

(x - 1)² - 5 = 0

(x - 1)² = 5

(x - 1) = ±√5

solusi 1 :

(x - 1) = √5

x = 1 + √5

solusi 2:

(x - 1) = -√5

x = 1 - √5

HP = {( 1 + √5 , 1 - √5 )}

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