SOLUTION: What is the minimum product of two numbers whose difference is 34? What are the numbers?
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Question 1058421: What is the minimum product of two numbers whose difference is 34? What are the numbers?
Found 2 solutions by solve_for_x, Alan3354:
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
Let x represent the larger of the two numbers.
The smaller number is then x - 34.
The product of the two numbers is:
P = x(x - 34) = x^2 - 34x
This is the equation of a parabola that opens upward. The minimum value of the product, P,
will correspond with the vertex of the parabola.
The x-coordinate of the vertex is:
x = -b/(2a) = -(-34) / (2*1) = 17
The larger value is 17.
The smaller value is 17 - 34 = -17
The minimum value of the product is then (17)(-17) = -289
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
-17*17 = -289
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