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Answer:
2 and 3/2
Step-by-step explanation:
a + b = 7/2
ab = 3
a = 7/2 - b ---> substitute
(7/2 - b) b = 3
-b^2 + 7/2b = 3
b^2 - 7/2b + 3 = 0
(b - 3/2)(b - 2) = 0 ---> Apply zero property
b - 3/2 = 0, b = 3/2
b - 2 = 0, b = 2
If b = 3/2 or 2, then
b = 3/2
a + b = 7/2
a + 3/2 = 7/2
a = 7/2 - 3/2
a = 4/2
a = 2
If b = 7/2, then a = 2
b = 2
a + b = 7/2
a + 2 = 7/2
a = 7/2 - 2
a = [7 - 2(2)]/2
a = 3/2
If b = 2, then a = 3/2
Therefore, the two numbers with a sum of 7/2 and a product of 3 are 2 and 3/2.