Question

i need the asnwer fast

prove that, x³+ 1/x³= 52​

Answer 1

Answer:

x³+1\x³=52

(x+1\x)³-3(x+1\x)=52

let (x+1\x)=t

t³-3t-52 =0

t³-4t²+4t²-16t+13t-52=0

t²(t-4)+4t(t-4)+13(t-4)=0

(t-4)(t²+4t+13)=0

t=4 and t²+4t+13

have no real value so

x+1\x=4