Question

If x + 1/x = 11,find the value of: x³+ 1/x³​

Answer 1

Answer:

Here you go!

Step-by-step explanation:

let x+1/x =11 be as it is

Take eq,

 x³+1/x³

This is of the form

x³+y³= (x+y)³ = x³+y³+3xy(x+y)

Here, X= x, y= 1/x

so,

(x+1/x)³= (x)³+(1/x)³+3(x)(1/x)[x+1/x]

           = x³+1/x³+3[11]    Here we know that x+1/x=11 so substitute

           = x³+1/x³+33

              ""x³+1/x³= -33""

There fore if x+1/x= 11, Then x³+1/x³= -33

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