Question

if (x + 1/x) = 4 find the value of (x2=1/x2

) = ?

& (x4+1/x4

) =​

Answer 1

Answer:

(i)14 (ii) 194

Step-by-step explanation:

(x + 1/x) = 4

Squaring Both Sides,

(x + 1/x)^2 = 4^2

x^2 + 1/x^2 + 2 = 16{ since (a+b)^2 = a^2 + b ^2 +2ab}

Hence,

x^2 + 1/x^2 = 16-2

= 14

Squaring both sides again,

(x^2 + 1/x^2)^2 = 14^2

x^4 + 1/x^4 + 2 = 196

x^4 + 1/x ^4 = 196 -2

= 194