Question

4. The sum of a number and its reciprocal is
4.25. Find the number.​

Answer 1

Answer:

let the no. be x

it's reciprocal is 1/x

x + 1/x =425/100

x + 1/x = 17/4

taking LCM (x^2 + 1) / x = 17/4

transposing 4 in LHS and X in RHS

4(x^2 + 1) = 17x

4x^2 + 4 =17x

4x^2 - 17x + 4= 0

4x^2 - 16x - x + 4 =0

4x( x - 4) - 1( x - 4)= 0

(x - 4) ( 4x - 1) =0

by equating there base

x - 4=0 and 4x - 1= 0

so, x = 4

or, x = 1/4