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Mathematics
8 December, 00:15
Find the roots for f (x) = x4 + 21x2 - 100.
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Reece Perkins
8 December, 00:23
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We will use the substitution:
t = x²;
t² + 21 x - 100 = 0
t² + 25 t - 4 t - 100 = 0
t (t + 25) - 4 (t + 25) = 0
(t + 25) (t - 4) = 0
t 1 = - 25, t 2 = 4
x = √t
Answer:
The roots are:
x 1 = 5 i
x 2 = - 5 i
x 3 = - 2
x 4 = 2
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