Jawaban:
c. x² - 25x + 24 = 0
Penjelasan dengan langkah-langkah:
x² - 10x + 9 = 0
p+q = -10
p.q = 9
p = -1
q = -9
(x + p) (x + q)
(x - 1) (x - 9)
x - 1 = 0 v x - 9 = 0
x = 1 x = 9
x1 < x2
x1 = 1
x2 = 9
3x1 - 2
= 3(1) - 2
= 1
3x2 - 3
= 3(9) - 3
= 24
(x - x1) (x - x2) = 0
(x - 1) (x - 24) = 0
x² - 24x - x + 24 = 0
x² - 25x + 24 = 0 (c).
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Jawaban:
c. x² - 25x + 24 = 0
Penjelasan dengan langkah-langkah:
x² - 10x + 9 = 0
p+q = -10
p.q = 9
p = -1
q = -9
(x + p) (x + q)
(x - 1) (x - 9)
x - 1 = 0 v x - 9 = 0
x = 1 x = 9
x1 < x2
x1 = 1
x2 = 9
3x1 - 2
= 3(1) - 2
= 1
3x2 - 3
= 3(9) - 3
= 24
(x - x1) (x - x2) = 0
(x - 1) (x - 24) = 0
x² - 24x - x + 24 = 0
x² - 25x + 24 = 0 (c).