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To find the positive number ( x ) that, when added to its reciprocal ( \frac{1}{x} ), gives the maximum sum, we can express the sum as ( S = x + \frac{1}{x} ). By using calculus, we can determine that this function reaches its minimum at ( x = 1 ), which means that the maximum sum occurs symmetrically around that point. Therefore, the maximum sum ( S ) occurs at ( x = 1 ), giving ( S = 1 + 1 = 2 ).
What else can I help you with?
What is reciprocal of the added reciprocals?
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
When a positive number and a negative number are added together the sum is if the positive number has a greater value?
If a positive and negative number are added together, and the positive number has a greater value, the sum will be positive.
What are the numbers if the number added to 8 times the numbers reciprocal is 6?
2 and 4
What is the name of the number that when added to another equals 1?
There is a complement that when added equals one but you may be thinking of multiplying. A number times its reciprocal (multiplicative inverse) is equal to one. A number added to its additive inverse (opposite) is equal to zero.
What does a plus and a plus make in algebra?
A positive number added to another positive number always results in a positive sum.
What is the answer if a natural number is doubled when added to its reciprocal?
A natural number is doubled when added to its reciprocal. Find that number!
What is reciprocal of the added reciprocals?
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
If three times a number is added to twice the reciprocal of that number the answer is 5 find the number?
One.
When a positive number and a negative number are added together the sum is if the positive number has a greater value?
If a positive and negative number are added together, and the positive number has a greater value, the sum will be positive.
What are the numbers if the number added to 8 times the numbers reciprocal is 6?
2 and 4
When you add a positive number by a positive number is the number negative or positive?
Positive numbers always result in positive numbers when added, divided, or multiplied by another positive number.
What is the name of the number that when added to another equals 1?
There is a complement that when added equals one but you may be thinking of multiplying. A number times its reciprocal (multiplicative inverse) is equal to one. A number added to its additive inverse (opposite) is equal to zero.
What does a plus and a plus make in algebra?
A positive number added to another positive number always results in a positive sum.
What does a positive number added by a negative number equal?
The sum of a positive number and a negative number can be either negative or positive. 9 + -3 = 6 9 + -13 = -4
Does a positive number minus a negative number equal a positive number or a negative number?
Positive. A negative number added to a positive would reduce the original to a smaller positive, to zero, or to a negative depending on their relative values but subtracting a negative number from a positive number will always increase the value of the positive.
What do a positive and negative equal?
A positive number added to a negative number may be either positive or negative depending on the magnititude ( absolute value) of the numbers. But a positive number multiplied by a negative number is always negative.
If four times a number is added to three times the reciprocal of the number, the answer is 13. Find the number(s)?
4+1=5 4+1=5 4+1=
