Question

What are two numbers that give a sum of 56 and a product of 72. Please answer as soon as possible!

Answer 1

The numbers are "x" and "y".
We can suggest this equation:
x+y=56
xy=72
We can solve this equation by substitution method.
x+y=56      ⇒x=56-y

(56-y)y=72
56y-y²=72
y²-56y+72=0

Now, we solve this square equatión:

y=[56⁺₋√(56²-4*1*72)] / 2=(56⁺₋√2848)/2
We have two solutions:
y₁=(56-√2848)/2≈1.3167  ⇒x₁=56-y₁≈54.6833
y₂=(56+√2848)/2≈54,6833  ⇒x₂=56-y₂≈1.3167


Therefore the numbers are 1.3167 and 54.6833