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25 December, 03:28

The product of two numbers is 30. The sum of the two numbers is 20. What might the two numbers be?

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  1. 25 December, 07:24
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    Hello,

    Let's be a and b the 2 numbers.

    a+b=20==>b=20-a

    a*b=30==>a * (20-a) = 30

    ==>a²-20+30=0

    Δ=20²-4*30=4*70

    a = (20+2√70) / 2 or a = (20-2√70) / 2

    ==> (a=10+√70 and b=10-√70) or (a=10-√70 and b=10+√70)

    The 2 numbers are 10+√70 and 10-√70.
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