Solve for the roots of the following equation.
Hint
5x2 – 4x – 1 = 0
Answer
and x = 1
x6 – 2x3 – 8 = 0
If we rewrite our equation with u = x3 and solve for u, we'll get u = 4 and u = -2.
and
2x2 – 5x – 15 = 0
-2x3 + 6x3/2 – 4 = 0
Rewrite it as -2u2 + 6u – 4, where u = x3/2.
x = 1 and
x5 + 3x3 – 4x = 0
Factor out an x, then rewrite the whole thing as , with u = x2.
x = 0, x = 1, x = -1, x = 2i, and x = -2i
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and x = 1
and 
and 
, with u = x2.