Question

The sum of a number and its reciprocal is 5 find the sum of the square of the number is​ please answer fast no spam

Answer 1

Answer:

Let x denote the required number. Then its reciprocal is

x

1

.

By the given condition, x+

x

1

=5

5

1

→

x

x

2

+1

=

5

26

So, 5x

2

−26x+5=0→5x

2

−25x−x+5=0

That is, (5x−1)(x−5)=0→x=5 or

5

1

Thus, the required numbers are 5,

5

1

.