Tentukan himpunan penyelesaian dari persamaan kuadrat berikut!

Penjelasan dengan langkah-langkah:

a. x² + 4x – 5 = 0

c = -5…×….= (1) × (-5)

d = 4…+…..= (1) + (3)

Maka,

(x + 1)(x – 5) = 0

(x + 1) = 0 Atau (x – 5) = 0

x = -1 Atau x = 5

Maka,HP = {5,-1}

b. x² – 6x + 8 = 0

c = 8…×…..= (2) × (4)

d = -6…+… = (-2) + (-4)

Maka,

(x + 2) (x – 4) = 0

(x + 2) = 0 Atau (x – 4) = 0

x = -2 Atau x = 4

Hp = {4,-2}

c. 2x² + 7x + 6 = 0

ac = 2(6) = 12….×…..= (4) × (3)

b = 7…..+……= 4 + 3

2x² + 7x + 6 = 0

2x² + 4x + 3x + 6 = 0

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

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

x = -2 Atau x =

HP = {-2,}

d. 3x³ – 14x – 5 = 0

ac = 3(5) = 15….×…..= (5) × (3)

b = -14……+…….= (-5) + (-9)

3x³ – 14x – 5 = 0

3x³ – 5x – 3x – 5 = 0

3x(x – 1) – 3(x – 5) = 0

(x – 1) (3x – 3) = 0

x = 1 Atau x = = 1

Hp = {1,1}