Question 221214
Suppose that X represents one of two positive numbers whose sum is 50. Determine a function F that represents the product of these two numbers. For what two such numbers is the product equal to 400?
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1st number: x
2nd number: 50-x
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Product = 400
x(50-x)-400 = 0
-x^2+50x-400 = 0
x^2 - 50x + 400 = 0
(x-10)(x-40) = 0
x = 10 and x = 40
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Cheers,
Stan H.