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Kedua persamaan tersebut kita selesaikan:
y = x² - x + 3
y = 2x + k
_________ -
0 = x² - 3x + 3 - k .....(1)
artinya a = 1 , b = -3 dan c = 3-k
x1 dan x2 adalah akar-akar dari persamaan (1),
kita dapatkan:
x1 + x2 = - b/a = -(-3)/1 = 3
x1 x2 = c/a = (3-k)/1= 3-k
sehingga
(x1)² + (x2)² = 7
(x1 + x2)² - 2(x1 x2) = 7
3² - 2(3-k) = 7
9 - 6 + 2k = 7
3 + 2k = 7
2k = 4
k = 2
Jawab
Nilai k = 2
Selamat belajar !
@Wello1
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