Question

If x + 1 by x equal to 4 then x square + 1 by x square equal to what

Answer 1

Answer:

(x+1)/x=4

4x=x+1

x=1/3

so x²+1/x²=(1/3)²+(3)²

=1/9+9

=82/9

Answer 2

Answer:

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

Step-by-step explanation:

if (x+1/x) = 4

then using the identity, (a+b)^2 = a^2 +b^2 +2ab

then, ATQ

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

Put x +1/x = 4 then,

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

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

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

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

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

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

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

Hope it works.....