The number that exceeds its square by the greatest amount is A. −1 B. 0 C. 1/2 D. −1/2

lilniggyirn1

lilniggyirn1

Answered question

2023-03-21

The number that exceeds its square by the greatest amount is
A. -1
B. 0
C. 12
D. -12

Answer & Explanation

punctator2ueu

punctator2ueu

Beginner2023-03-22Added 8 answers

The justification for the right response
Let x be the number
Let y be the difference between the number and its square.
y=x-x2
To achieve the greatest difference, dydx=0
dydx=1-2x=0
x=12
Hence, the correct option is C

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