Question

if x plus one upon x is equal to 6 find the value of x square + 1 x square

Answer 1

given, x + 1/x= 6.

After squaring both side,

(x + 1/x) ^2= 6 ^2

x ^2 + 1/x ^2 +2× x × 1/x =3 6

x ^2 + 1/x ^2 +2 =3 6

x ^2 + 1/x ^2 =3 6 - 2

x ^2 + 1/x ^2 =34.