1
If x = 3^(1/3)3 +3^(-1/3)3, then 3x^3-9x is
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Step-by-step explanation:
Let's solve each term on the RHS of the first equation:
3
1
3
=
3
√
3
3
−
1
3
=
1
3
1
3
=
1
3
√
3
∴
x
=
(
3
√
3
+
1
3
√
3
)
Plugging in that value for
x
yields:
3
(
3
√
3
+
1
3
√
3
)
3
−
9
(
3
√
3
+
1
3
√
3
)
=
10
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