p+q= 3, p×q=10. tentukan jumlah p dan q
p+q = 3
pq = 10
maka
q = 10/p
p+(10/p) = 3
p²+10 = 3p
p²-3p+10 = 0
a = 1, b = -3, c = 10
p = -b±√(b²-4ac)/2a
p = 3±√(9-40)/2a
p = 3±√(-31)/2a
p = 3±√(31)i/2a
q = 10/p
q = {10/(3±√(31)i/2a), 10/(3-√(31)i/2a)}
q = {(3-√(31)i/2a), (3+√(31)i/2a)}
p dan q =
{(3+√(31)i/2a), (3-√(31)i/2a)}
dan
{(3-√(31)i/2a), (3+√(31)i/2a)}