Question

If x^2 + 1/x^ 2 = 73 then x + 1/x is equal to ?​

Answer 1

Step-by-step explanation:

x^2+1/x^2=73 ------------ (1)

let us assume answer is y

x+1/x=y

squaring on both sides

(x+1/x)^2=y^2

(a+b)^2=a^2+b^2+2ab

x^2+1^2/x^2+2×x×1/x=y^2

x^2+1/x^2+2×x×1/x=y^2

73+2=y^2

75=y^2

y=75^1/2