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How do you do the following problem?
the sum of two decimal numbers is 3.9. their difference is 0.9 and their product is 3.6. What are the two numbers?
2 Answers
- 1 decade agoFavorite Answer
x + y = 3.9
x * y = 3.6
x * (3.9 - x) = 3.6
3.9x - x^2 = 3.6
x^2 - 3.9x +3.6 = 0
using quadratic formula
x = (3.9 + or - sqrt(3.9^2 - 4(3.6)))/2
x = 1.5 or 2.4
There are two possible solutions:
x is 1.5 y is 2.4
x is 2.4 y is 1.5
- Anonymous1 decade ago
x + y = 3.9
x - y = 0.9
2y = 4.8
y = 2.4
x + 2.4 = 3.9
x = 1.5
so the two numbers are 2.4 and 1.5
to prove is 2.4 x 1.5 = 3.6