Question

Ad kh yg respon bisa bantu ak?

Answer 1

Jawab:

x² + 2x -8 = 0

Penjelasan dengan langkah-langkah:

Untuk persamaan baru : x² - (a + b) x + (ab) = 0

a + b = -(4)/2 = -2

ab = -3/2

⇒ (2a+1) + (2b+1) = 2a + 2b + 2 = 2 (a+b) + 2 = -4 + 2 = -2

⇒ (2a+1) (2b+1) = 4ab + 2a + 2b + 2 = 4(-3/2) + 2 (a+b) + 2 = -6 - 4 + 2 = -8

Jadi,

x² - [(2a+1) + (2b+1)] x + [(2a+1) (2b+1)] = 0

→ x² + 2x -8 = 0