Question

Show that if x3+1\x3=52, if x=2+root 3

Answer 1

x=2+√3

1/x=1/2+√3

1/x=2-√3/(2)²-(√3)²

1/x=2-√3

x+1/x=4

x³+1/x³=(x+1/x)³-3(x+1/x)

x³+1/x³=(4)³-3(4)

x³+1/x³=64-12=52

꧁•༆Hope it helps༆•꧂