Answer:
Options (2) and (3)
Step-by-step explanation:
Let, 
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a = 
By substituting the value of a in equation (1),
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a =
For b = ±2i,
a = 
= 
= 
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a = 
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.
Answer:
3:10
Step-by-step explanation:
There isn’t any correct answer
Answer: Okay the numbers you put was confusing but I think I got it.
42÷6=x
Step-by-step explanation:if 6 can sit a a table then dividing the number of people by 6 gives the answer.
This problem can take a while if you cannot observer the answer quickly.
First of all we can see that 32=2*2*2*2*2=2^5
243, if you don't know its actually is 3^5
Now we can see that this turns into...
- 2^5/3^5
since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below
(-3)^2=9 Positive
(-3)^3=-27 Negative since its to the odd power it keeps the sign.
This problem can be simplified to.
(-2/3)^5
And this is the answer :D
If you have any questions just put them in the comments.
