Answer: 28748.1
Step-by-step explanation:
Answer:
n5 + 17
Step-by-step explanation:
They're asking for a pattern.
17 + 5 = 22
22 + 5 = 27
27 + 5 = 32
So it starts at 17 and increases by five each time.
The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.
n5 + 17
Answer:
x³ + x² − 4x + 6 = 0
Step-by-step explanation:
Imaginary roots come in conjugate pairs. So if 1+i is a root, then 1−i is also a root.
(x − (-3)) (x − (1+i) (x − (1−i)) = 0
(x + 3) (x² − (1+i) x − (1−i) x + (1+i) (1−i)) = 0
(x + 3) (x² − x − ix − x + ix + 1 − i²) = 0
(x + 3) (x² − 2x + 2) = 0
x (x² − 2x + 2) + 3 (x² − 2x + 2) = 0
x³ − 2x² + 2x + 3x² − 6x + 6 = 0
x³ + x² − 4x + 6 = 0
To convert to a decimal, you can do long division, dividing 5 into 4. Or, you can realize 5/4 = 1 and 1/4, = 1.25. 125/100 is easier to see as a decimal. 125/100 = 1 and 25/100.
