Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
Example:
To make ‘u’ the subject of the formula in
V = u + at
*subtract ‘at’ to both sides*
V -at = u + at - at
Result:
V - at = u
So the answer would be
u = V - at
Answer:
4 x 5 = 20, 20 x 2 = 40
7 x 5 = 35, 35 x 2 = 70
7 x 4 = 28, 28 x 2 = 56
40 + 70 + 56 = 166 cm^2 is your answer
45 miles--->1 hour
1800 miles--->40 hours
The answer would be 30 but im not sure you worded the question correctly, did you mean which day would it be if 30 days pass friday? if so the answer is saturday
