Question 677089
 show that no such numbers exist
their sum is 12, and their product is 20
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Equations:
x + y = 12
xy = 20
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Substitute for "x" and try to solve:
(12-y)y = 20
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12y - y^2 = 20
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y^2 - 12y + 20 = 0
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y = [12 +- sqrt(144-4*20)]/2
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y = [12 +- sqrt(64)]/2
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y = [12+-8]/2
y = 10 or y = 2
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If y = 10, x = 2
If y = 2, y = 2
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The numbers DO exist.
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Cheers,
Stan H.