Determine the coordinate of the point shown. It’s on a (3,-5) (1,-2) (1.5, -2.5) (-2.5, 1.5)
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The two numbers are 120 and 60
Let's call the two numbers x and y. The first sentence translates into
from which we can derive
So, their product can be written as
This expression is a quadratic polynomial with negative leading coefficient, so it represents a parabola concave down. So, the vertex of the parabola is its maximum, which we can find as usual: given the parabola , its extreme point is located at
.
So, in your case, since and
, the maximum is located at
Now that we know y, we can deduce the value of x:
So, the two numbers are 120 and 60