Answer:
p = x² − 6x + 10
Step-by-step explanation:
Complex roots come in conjugate pairs. So if 3−i is a root, then 3+i is also a root.
p = (x − (3−i)) (x − (3+i))
p = x² − (3+i)x − (3−i)x + (3−i)(3+i)
p = x² − 3x − ix − 3x + ix + (9 − i²)
p = x² − 6x + 10
You can check your answer using the quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ 6 ± √(36 − 40) ] / 2
x = (6 ± 2i) / 2
x = 3 ± i
Answer:
-12
Step-by-step explanation:
First, solve in parentheses.
2(-2-4)
=
2(-6)
Next, multiply 2 by -6.
Which equals -12.
So therefore using the distributive property shown above, the answer would be -12.
Answer:
One solution
Step-by-step explanation:
3x - 5 = - 3
1. Add 5 to both sides
3x= 2
Then Divide by three to get x alone
x= 2/3
X has only one solution here
Total = 500 * (1 + .06/12) ^ 12 * 4
Total = 500 * (1.005) ^ 48
Total = 500 *
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1.2704891611
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Total =635.24
Answer:the left one
Step-by-step explanation: