Question

tolong bantuin tugas mtk saya kak,
menggunakan cara ya

1. ( x - 2 )² = ( 2x + 3)²
2. -5 + 3 ( x² - 4 ) = -x + 2
3. ( x + 2 ) ( x - 1 ) = ( 3x + 4 ) ( x + 3 )​

Answer 1

Verified answer

Materi : Bentuk dan Persamaan kuadrat

1. ( x - 2 )² = ( 2x + 3 )²

x² - 4x + 2 = 4x² + 12x + 9

3x² + 16x + 11 = 0

[ Metode Rumus ABC / Kuadratik ]

x = ( b ± √[ b² - 4ac ] )/2a

x = ( 16 ± √[ 16² - 4(3)(11) ] )/2a

x = ( 16 ± √[ 256 - 132 ] )/2(3)

x = ( 16 ± √[ 124 ] )/6

x = ( 16 ± 2√31 )/6

Himpunan Penyelesaian

x = ⅓( 8 + √31 )

x = ⅓( 8 - √31 )

2. - 5 + 3( x² - 4 ) = - x + 2

3x² + x - 12 - 5 - 2 = 0

3x² + x + 19 = 0

[ Metode Rumus ABC / Kuadratik ]

x = ( b ± √[ b² - 4ac ] )/2a

x = ( 1 ± √[ 1² - 4(3)(19) ] )/2a

x = ( 1 ± √[ 1 - 228 ] )/2(3)

x = ( 1 ± √[ -227 ] )/6

x = ( 1 ± √[-1] . √227 )/6

Himpunan Penyelesaian

x = ⅙( 1 + i√227 )

x = ⅙( 1 - i√227 )

3. ( x + 2 )( x - 1 ) = ( 3x + 4 )( x + 3 )

x² + x - 2 = 3x² + 13x + 12

2x² + 12x + 14 = 0

[ Metode Rumus ABC / Kuadratik ]

x = ( b ± √[ b² - 4ac ] )/2a

x = ( 12 ± √[ 12² - 4(2)(14) ] )/2a

x = ( 12 ± √[ 144 - 112 ] )/2(2)

x = ( 12 ± √32 )/4

x = ( 12 ± 4√2 )/4

Himpunan Penyelesaian

x = 3 + √2

x = 3 - √2

Semoga bisa membantu