Question

The sum of a number and its reciprocal is 65÷8. Find the numder

Answer 1

Answer:

Step-by-step explanation:

Let the Number be x,

it's reciprocal is 1/x

x + 1/x = 65/8

x²+1/x=65/8

8x²+8=65x

8x²+8-65x=0

8x²-64x-x+8=0

8x(x-8)-1(x-8)=0

8x-1(x-8)=0

8x - 1 =0

=> 8x=1

=> x=1/8

x-8=0

=> x = 8

Therfore the number is 8 or 1/8