if x=8+3√7 then find the value of x3 / x6 - 3x3 +1
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Answer:
x=3+
3
x
2
=(3+
8
)
2
=9+8+6
8
=17+6
8
x
2
+
x
2
1
=(3+
8
)
2
+
(3+
8
)
2
1
⇒17+6
18
+
17+6
8
1
⇒
17+6
8
(17+6
8
)
2
+1
×
(17−6
8
)
(17−6
8
)
⇒
289−288
(17+6
18
)
2
(17−6
8
)+(17−6
8
)
⇒(289−288)(17+6
8
)+17−6
8
⇒17+6
8
+17−6
8
=34
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