Question

the sum of numbers and its reciprocal is 17/4 find tge number

Answer 1

let x be the number. reciprocal is 1/x.

x+1/x = 17/4

to make the equation easier multiply both sides by 4x.

(4x*x) + 4x*(1/x)= 4x*(17/4)

Solving this equation,
4x^2+ 4=17x

4x^2 - 17x + 4 = 0

Expand this to formulate.

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

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

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

By substitution,

X can be either 4 or 1/4 to make either of the two components 0, so that the multiplication result will be 0.

Answer 2

hey friend here is your answer.