Question

If a² - 3a + 1 = 0, then what is the
value of a³ +
1/а³​

Answer 1

Step-by-step explanation:

a-3a+1=0

a+1=3a

a(a+1/a)=3a

(a+1/a)=3

on cubic both side,

(a+1/a)³=3³

a³+1/a³+3•a•1/a(a+1/a)=27

a³+1/a³+3(3)=27

a³+1/a³+9=27

a³+1/a³= 18

#666