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Kita Faktorkan untuk mencari akar akarnya
x^2 - 5x + 6 = 0
( x - 3 ) ( x - 2 )
didapat
x.1 = 2 atau p
x.2 = 3 atau q
( p + q )^2 = p^2 + 2pq + q^2
maka
2^2 + 2.2.3 + 3^2
4 + 12 + 9
25
(x - 3)(x - 2) = 0
x = 3 atau x = 2
p = 3 atau q = 2
p^2 + q^2 = (3)^2 + 2^2 = 9 + 4 = 13