Question

sum of a number and it's reciprocal is 5 1/5 find the number​

Answer 1

Step-by-step explanation:

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

.

Answer 2

Step-by-step explanation:

Let the number be as X

According to the question,

X + 1/X = 26/5

2X + 1 / X = 26/5

(2X + 1) 5 = 26X

10X + 5 = 26X

10X - 26X = 5

-16 X = 5

X = - 5 / 16.