In attempting to solve the system of equations y 3x 2 and 6x 2y 4, John graphed the two equations on his calculator. Because he
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the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point
that means, for
the product is a minimum
find the value of y
therefore
the answer is
the numbers are and
