Question

The sum of natural and its reciproxal is 145/12 find the number​

Answer 1

take that number as x

x+1/x=145/12

(x^2+1) /x=145/12

(x^2+1) ×12=145x

12x^2+12=145x

12x^2+12-145x=0

12x^2-145x+12=0

x=-b+-√(b^2-4ac) /2a

b=-145

a=12

c=12

x=145+-143/24

x=12