Tentukan nilai P dan q jika diketahui a.P+q=2 dan p×q=-15 b.p+q=8 dan p×q= 15
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Tentukan nilai P dan q jika diketahui
a.P+q=2 dan p×q=-15
b.p+q=8 dan p×q= 15
a.P+q=2 dan p×q=-15
b.p+q=8 dan p×q= 15
1 Jawaban
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1. Jawaban jpallo
a) p + q = 2 ===> p = 2 - q
p x q = 15 ===> (2 - q) x q = 15
2q - q² = 15
q² - 2q + 15 = 0
(q - 5)(q + 3) = 0
q = 5 dan q = -3
utk q = 5 ===> p = 2 - q ===> p = 2 - 5 ===> p = -3
utk q = -3 ===> p = 2 - q ===> p = 2 - (-3) ===> p = 1
b) p + q = 8 ===> p = 8 - q
p x q = 15 ===> (8 - q) x q = 15
8q - q² = 15
q² - 8q + 15 = 0
(q - 5)(q - 3) = 0
q = 5 dan q = 3
utk q = 5 ===> p = 8 - q ===> p = 8 - 5 ===> p = 3
utk q = 3 ===> p = 8 - q ===> p = 8 - 3 ===> p = 5
semoga jelas dan membantu ya