What is the solution set of the following system of equations?
1 answer:
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Let's assume that number as x
so,
the sum of the number and its reciprocal is
Firstly, we will find derivative
now, we can set it to 0
and then we can solve for x
Since, only x=1 lies on [1/2,3/2]
so, we will consider only x=1
now, we can plug end values and x=1 into S
At x=1/2:
we can plug x=1/2
At x=1:
we can plug x=1
At x=3/2:
we can plug x=3/2
(a)
Smallest value:
The smallest value among them
So, a number is 1..........Answer
(b)
Largest value:
The largest value among them
So, a number is ........Answer