-454
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Let the numbers be 'm' & 'n'
Hence mn = -462
m + n = 8
m = 8 - n
Substitute
(n - 8)n = -462
n^(2) - 8n = -462
n^(2) -8n + 462 = 0
It is now in Quadratic form, Apply the Quadratic Eq'n.
n = { -8 +/-sqrt[(-8)^(2) - 4(462)(1)]} / 2(1)
n = { -8 +/-sqrt[64 - 1848]} / 2
n = ( -8 +/- sqrt[ - 1784]} / 2
This remains unresolved as you cannot take the square root of a negative number.
-17.8632 and 25.8632 (to 4 dp)
Another Answer:-
(4+sq rt of 478)*(4-sq rt of 478) = -462
(4+sq rt of 478)+(4-sq rt of 478) = 8