If x=c√b+4 find x+1/x with solution

Question

The question has variable but answer is 5+3√3/2

I want solution

Answer 1

x=csqrb+4, find x+1/x= 5+3sqr3/2

the problem is ambiguous as stated, if it reads

x=csqr(b+4) find (x+1)/x= 1 +1/x = 1+1/csqr(b+4)= 1+sqr(b+4)/(cb+4c)

then to get 5+3sqr3/2 as the answer requires sqr(b+4)/(cb+4c) = 4+3sqr3/2

maybe the problem is to find b and c such that that equality holds

maybe let b=x and c=y and graph the equation, but the graph never touches the x axis, no x intercept means no real solution for x

Maybe the problem is really

x= (csqrb) +4, find x +(1/x). if so, then

(csqrb)+4 + 1/(csqrb)+4) = x + 1/x = 5+3sqr3/2 = 5+1.5sqr3

let x=b, y=c and graph

(ysqrx) +4 + 1/((ysqrx)+4) = 5 + 1.5sqr3

same problem no x intercept means no real solution