Question

If x+1/x =6 ,find the values of : I) x2+1/x2. ii) x-1/x​

Answer 1

Answer:

i. 34 ii.32

Step-by-step explanation:

i. on squaring both sides

x2+1/x2 +2=36

x2+1/x2 =34

ii. on squaring both sides

= {x2+1/x2} -2

=34-2

=32

Answer 2

Answer:

${x}$+${1/x}$ = 6

on squaring them

${x}^2$+${1/x}^2$ + 2 = 36

${x}^2$+${1/x}^2$ = 36 - 2

${x}^2$+${1/x}^2$ = 34

${x}$-${1/x}$ = ${x}^2$+${1/x}^2$ - 2

putting the value of

${x}^2$+${1/x}^2$

${x}$-${1/x}$ = 34 + 2

${x}$-${1/x}$ = 36

hope this help u