Question

if x=1/x-5 and x≠5 find x³+ (1/x³)​

Answer 1

Answer:

Solution

verified

Verified by Toppr

Formula to be used : (a+b)

3

=a

3

+b

3

+3ab(a+b)

x+

x

1

=5

Cubing on both sides:

→(x+

x

1

)

3

=5

3

→x

3

+

x

3

1

+3⋅x⋅

x

1

⋅(x+

x

1

)=125

→x

3

+

x

3

1

+15=125

→x

3

+

x

3

1

=125−15=110