Answer:
Step-by-step explanation:
Given Equation:
x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3
which simplifies to
x^3- 5x^2 + 7x+ 13 = 0
Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.
The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13
The other root can therefore be obtained by long division
(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1
Therefore the three roots are:
{x=3-2i, x=3+2i, x=-1 }
Answer:
t=1
Step-by-step explanation:
Calculate 16% of 850.
The way I do this is by breaking it up into smaller pieces.
First I would find 10% of 850. To do this I need to divide 850 by 10, as 100%/10 gives us 10%, which is what we need.
So 10% = 85
Then we need 5%, which is half of 10%, therefore half of 85,
So 5% = 42.5
Then we need 1% which is 10%/10, so 85/10.
So 1% = 8.5
Then we add all these together to get 16%.
So 16% = 136
They predict that 102 people will come back, which is less than the 16% that should come back to stay again, so their prediction is too low.
