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dedylja [7]
3 years ago
14

If 2 - 3i is a solution to the equation x3 - 3x2 + 9x + 13 = 0, what are the other roots of the equation?

Mathematics
1 answer:
OLga [1]3 years ago
4 0
The complex solutions come in pairs and the only difference between them is the sign between the real and imaginary part, so one of the other two solutions is 2+3i. The third solution can be easily found using the rational root theorem, and it's equal to -1.
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Find the first term, a1, of an arithmetic sequence if a12 = 38 and a45 = 170.
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Standard formula for arithmetic sequence:
an = a0 + d(n-1)

if we use the two terms given, setting a12 as starting term and a45 as the end term an.

170 = 38 + 33d 
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132 = 33d

132/33 = d
This is the common difference, use it to find the first term.

38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
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6 0
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