Question

Selesaikan persamaan x!
(x² + 6x - 7)(2x² - 5x - 3) = 0

Answer 1

Jawaban:

x= -7, -1/2, 1, atau 3.

Penjelasan dengan langkah-langkah:

Faktorkan:

(x+7)(x-1)1/2(2x-6)(2x+1)= 0

(x+7)(x-1)(x-3)(2x+1)= 0

Salah satu harus 0.

x+7= 0

x= -7

x-1= 0

x= 1

x-3= 0

x= 3

2x+1= 0

2x= -1

x= -1/2

Answer 2

Jawaban:

x² + 6x - 7 = x² - x + 7x - 7

= x(x - 1) + 7(x-1)

= (x + 7)(x - 1)

2x² - 5x - 3 = 2x² - 6x + x - 3

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

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

(x² + 6x - 7)(2x² - 5x - 3) = 0

(x + 7)(x - 1)(2x + 1)(x - 3) = 0

x + 7 = 0

x = -7

x - 1 = 0

x = 1

2x + 1 = 0

2x = -1

x = -½

x - 3 = 0

x = 3