Question

Q. lanjut ( yg semalam )

Diketahui persamaan kuadrat X² - 6x + 9 = 0 dgn akar" m dan n, tentukan persamaan kuadrat baru yg akar"nya sebagai berikut:
A. m + 2 dan n + 2
B. 3m dan 3n
C. 1/m dan 1/n

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Answer 1

Jawaban:A. x² - 10x + 25 = 0B. x² - 18x + 81 = 0C. 9x² - 6x + 1 = 0Penjelasan dengan langkah-langkah:x² - 6x + 9 = 0(x - 3) (x - 3) = 0x = 3 → m \/ x = 3 → nm = 3n = 3Bagian A x1 = m + 2 = 3 + 2 = 5x - 5 = 0 x2 = n + 2 = 3 + 2 = 5x - 5 = 0 (x - 5) (x - 5) = 0x² - 5x - 5x + 25 = 0 x² - 10x + 25 = 0Bagian B x1 = 3m x = 3(3) x = 9x - 9 = 0 x2 = 3n x = 3(3) x = 9x - 9 = 0 (x - 9) (x - 9) = 0x² - 9x - 9x + 81 = 0 x² - 18x + 81 = 0Bagian C x1 = 1/m x = 1/33x - 1 = 0 x2 = 1/n x = 1/33x - 1 = 0 (3x - 1) (3x - 1) = 09x² - 3x - 3x + 1 = 0 9x² - 6x + 1 = 0#LearnWithPanda