Let x and y be the two positive numbers. - Their product is 192: x * y = 192 equation 1
- the sum of the first plus twice the second is a minimum: x + 2y
From the first equation, y = 192 / x.
Substitute that into the second equation:
x + 2y = x + 2(192/x ) = x + 384/x
f(x) is minimum when f'(x) = 0 and f"(x) > 0
f(x)= x + 384/x
f(x) = 1-384/x^2
1-384 / x^2 = 0
x^2-384 = 0
x^ 2= 354
x = radical 354 = 18.8 here i'm confused why the number is decimal
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