Jawaban:

1 ) { - 1 , - 2 }

2) { - 2 , - 5 }

3) { 2 + 2√3 , 2 - 2√3 }

4) { 1 , 4 }

Penjelasan dengan langkah-langkah:

1 )

x² + 3x + 2 = 0

( x + 1 ) ( x + 2 ) = 0

(:) Cari nilai x1

x1 + 1 = 0

x1 = - 1

(:) Cari nilai x2

x2 + 2 = 0

x2 = - 2

(:) Cari Hp

Hp = { - 1 , - 2 }

2)

x² + 7x + 10 = 0

( x + 2 ) ( x + 5 ) = 0

(:) Cari nilai x1

x1 + 2 = 0

x1 = - 2

(:) Cari nilai x2

x2 + 5 = 0

x2 = - 5

(:) Cari Hp

Hp = { - 2 , - 5 }

3)

x² - 4x - 8 = 0

a = 1 , b = - 4 , c = - 8

x1 , x2 = - b ± √ b² - 4 . a . c / 2 . a

= 4 ± √ ( - 4² ) - 4 . 1 . - 8 / 2 . 1

= 4 ± √ 16 + 32 / 2

= 4 ± √ 48 / 2

= 4 ± √ 16 . 3 / 2

= 4 ± 4√3 / 2

(:) Cari nilai x1

x1 = 4 + 4√3 / 2

x1 = 2 + 2√3

(:) Cari nilai x2

x2 = 4 - 4√3 / 2

x2 = 2 - 2√3

(:) Cari Hp

Hp = { 2 + 2√3 , 2 - 2√3 }

4)

x² - 5x + 4 = 0

( x - 1 ) ( x - 4 ) = 0

(:) Cari nilai x1

x1 - 1 = 0

x1 = 1

(:) Cari nilai x2

x2 - 4 = 0

x2 = 4

(:) Cari Hp

Hp = { 1 , 4 }