Answer:
B
Step-by-step explanation:
B
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.
Answer: -22
Step-by-step explanation: multiply -7 adn 4 that would be -28 then subtract -6 and it would give you -22
Have a good day!
Answer:
x = 14
Step-by-step explanation:
Let's solve your equation step-by-step.
6(x − 5) = 54
Step 1: Simplify both sides of the equation.
6(x − 5) = 54
(6)(x) + (6)(−5) = 54(Distribute)
6x + − 30 = 54
6x − 30 = 54
Step 2: Add 30 to both sides.
6x − 30 + 30 = 54 + 30
6x = 84
Step 3: Divide both sides by 6.
6x/6 = 84/6
x = 14
Find the GCF of 228 and 298 and that would be 2.
divide both the numerator and denominator by 2
simplify
Answer: 114/149.
