Answer:
For complex numbers,
a + bi and a - bi
they have the interesting property that if you add them you get the real number 2a
and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2
But since i^2 = -1, we end up with a real number as a product.
e.g. 6 - 5i and 6 + 5i are conjugates of each other
sum = 6-5i + 6+5i = 12
product = 36 - 25i^2
= 36 -(-25) = 61
Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i
Also I believe, according to the answer, that you have a typo, and you meant
(-5+i)/(2i)
= (-5+i)/(2i) *i/i
= (-5i + i^2)/2i^2)
= (-5i +i^2)/-2
= (-5i - 1)/-2
= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2
Answer:
D
Step-by-step explanation:
Since you are trying to make x on its own, you are trying to get rid of the co-efficient. The co-efficient is three, so you divide 3 by 3, which would equal one, leaving x on its own. Whatever you do to one side you do to the other, so you would divide 27 by 3 as well.
x = 9
To find the answer, subtract j(x) from g(x):
g(x) - j(x)
Plug in the expressions that each function is equal to:
(x^2 - 2x + 11) - (-x^3 - 4x^2 + 5)
Distribute the negative, get rid of parentheses:
x^2 - 2x + 11 + x^3 + 4x^2 - 5
Combine like terms:
x^3 + 5x^2 - 2x + 6
Answer:
x = 12
Step-by-step explanation:
Becuase 6/12 = 2 and 9 + 2 = 11
12
