Find the num

The sum of a number and its reciprocal 10/3. find the number 5

x=3 or x = 1/3

Step-by-step explanation:

Let the number = x

The reciprocal of the number = 1/x

According to the given statement:

x+1/x=10/3

x²+1/x=10/3

3 (x²+1) = 10x

3x²+3=10x

Move 10x to the L. H. S

3x²-10x+3=0

Break the middle term:

3x²-9x-x+3=0

3x (x-3) - 1 (x-3) = 0

(x-3) (3x-1) = 0

x-3=0, 3x-1=0

x=0+3, 3x=0+1

x=3, 3x=1

x=3, x = 1/3

So x=3 or x = 1/3 ...