Question

tolong dijawab jangan asal​

Answer 1

Materi : Bentuk dan Persamaan Kuadrat

Soal Nomor 1

5( p - 3 )/4 - 80/( p - 3 ) = 0

Semua dikalikan ( p - 3 )

5( p - 3 )²/4 - 80 = 0

5( p² - 6p + 9 )/4 - 80 = 0

( 5p² - 30p + 45 )/4 - 320/4 = 0

( 5p² - 30p - 275 )/4 = 0

Sederhanakan [ dikali 4 ] dan dibagi 5

5p² - 30p - 275 = 0

p² - 6p - 55 = 0

( p - 11 )( p + 5 ) = 0

Himpunan Penyelesaiannya

p = -5 atau p = 11

Soal Nomor 2

- 2x² - 5x + 12 = 0

Semua dikali ( -1 )

2x² + 5x - 12 = 0

( 2x - 3 )( x + 4 ) = 0

Himpunan Penyelesaiannya

x = -4 atau x = 3/2

Soal Nomor 3

Bagian A

k² - 9k - 8 = 0

k² - 9k + ( -9/2 )² = 8 - ( -9/2 )²

( k - 9/2 )² = 32/4 - 81/4

k = 9/2 ± √[-49/4]

k = 9/2 ± 7/2i

Himpunan Penyelesaiannya

k = ½( 9 + 7i ) atau k = ½( 9 - 7i )

Bagian B

2x² + 8x = 13

x² + 4x = 13/2

x² + 4x + ( 4/2 )² = 13/2 + ( 4/2 )²

( x + 2 )² = 26/4 + 16/4

x = -2 ± √( 42/4 )

x = -2 ± √( 21/2 )

Himpunan Penyelesaiannya

x = -2 + √( 21/2 ) atau x = -2 - √( 21/2 )

Soal Nomor 4

4y² = 5( 3y + 5 )

4y² = 15y + 25

4y² - 15y - 25 = 0

( a = 4, b = -15, c = -25 }

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x = ( -b ± √[ b² - 4ac ] )/2a

x = ( 15 ± √[ 225 + 400 ] )/2(4)

x = ( 15 ± √625 )/8

x = ( 15 ± 25 )/8

Himpunan Penyelesaiannya

x = 40/8 = 5 atau x = -10/8 = -5/4

Semoga bisa membantu

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