Answer:
-35, 35
Step-by-step explanation:
let one of the numbers be x.
It is given that the difference between the 2 numbers is 70. In order for this statement to be true, the other number must be (x + 70)
so now we have our 2 numbers x and (x + 70)
let y = the product of our 2 numbers
hence,
y = x (x + 70) , or
y = x² + 70x
We recognize this to be a quadratic equation and we can immediately concluded some things:
1) the x² term is positive, hence it must be a quadratic graph with a minimum vertex (i.e the graph looks like a u-shape and not an n-shape)
2) the minimum point is located at x = -b/2a.
in our case, b = 70 and a = 1,
hence the for y to be minimum,
x = -(70) / 2(1) = -70/2
x = -35 (answer)
therefore the 2nd number
= x + 70
= -35 + 70
= 35 (answer)
