0
No solution in integers.
a + b = 11, so b = 11 - a; ab = 21 so a x (11 - a) = 21
-a2 + 11a = 21 or a2 - 11a + 21 = 0
Quadratic formula solution:
(11 +/- sqrt(121 - 84))/2
= (11+/- 6.083)/2
= 17.083/2 or 4.917/2
= 8.5415 or 2.4585
Sum = 11, product = 20.99928
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