α+β = -(-(a+5))/(1) = a+5
αβ = 5a/1 = 5a
α²+β² = (α+β)²-2αβ
= (a+5)²-2.5a
= a²+10a+25 - 10a
α²+β² = a²+25 = g(a)
nilai minimum : g'(a) = 0, koefisien a² positif (terpenuhi)
g'(a) = 0 = 2a
2a = 0
a = 0
nilai minimum g(a) atau α²+β² di dapat kalau a = 0
g(0) = 0²+25 = 25
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α+β = -(-(a+5))/(1) = a+5
αβ = 5a/1 = 5a
α²+β² = (α+β)²-2αβ
= (a+5)²-2.5a
= a²+10a+25 - 10a
α²+β² = a²+25 = g(a)
nilai minimum : g'(a) = 0, koefisien a² positif (terpenuhi)
g'(a) = 0 = 2a
2a = 0
a = 0
nilai minimum g(a) atau α²+β² di dapat kalau a = 0
g(0) = 0²+25 = 25