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

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.