Pe12samaan Ku4drat
3x² - 5x + 1 = 0
x1 + x2 = -b/a = 5/3
x1 x2 = c/a = 1/3
Akar2 baru
m = 1/(x1 - 1) + 1/(x2 - 1)
m = (x2 - 1 + x1 - 1)/(x1x2 - x1 - x2 + 1)
m = (5/3 - 2)/(1/3 - 5/3 + 1)
m = (-1/6)/(-1/3)
m = 1/2
n = 1/(x1 - 1) . 1/(x2 - 1)
n = 1/(x1x2 - x1 - x2 + 1)
n = 1/(-1/3)
n = -3
Persamaan kuadrat baru dg akar2 baru:
x² - mx + n = 0
x² - 1/2 x - 3 = 0
2x² - x - 6 = 0 ✔
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Pe12samaan Ku4drat
3x² - 5x + 1 = 0
x1 + x2 = -b/a = 5/3
x1 x2 = c/a = 1/3
Akar2 baru
m = 1/(x1 - 1) + 1/(x2 - 1)
m = (x2 - 1 + x1 - 1)/(x1x2 - x1 - x2 + 1)
m = (5/3 - 2)/(1/3 - 5/3 + 1)
m = (-1/6)/(-1/3)
m = 1/2
n = 1/(x1 - 1) . 1/(x2 - 1)
n = 1/(x1x2 - x1 - x2 + 1)
n = 1/(-1/3)
n = -3
Persamaan kuadrat baru dg akar2 baru:
x² - mx + n = 0
x² - 1/2 x - 3 = 0
2x² - x - 6 = 0 ✔