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Elan Coil [88]
3 years ago
9

Find the quadratic equation whose roots are 3+- i / 2

Mathematics
1 answer:
Tamiku [17]3 years ago
4 0
(x - root#1) times (x - root#2) = 0 . . . . . This is how to BUILD the quadratic equation.


All the rest is just multiplying out that first line:

(x- (3+i/2)) times (x - (3-i/2)) = 0

x² -x(3-i/2) -x(3+i/2) + (3+i/2)(3-i/2) = 0

x² -3x + ix/2 -3x - ix/2 + 9 -3i/2 + 3i/2 = 0

<u>x² -6x +9 = 0</u>  There it is.  That's your quadratic equation.
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12z - 3 ≥ 2z - 15 it says my question is too short, so here are more characters.
Mnenie [13.5K]
The answer is z ≥ -6/5 :)

5 0
3 years ago
find point p that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5)
Mademuasel [1]
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.

So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4

Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.

i.e. it is 2/5 of the way along the line AB.

We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6

Therefore coordinates of p are (-0.6, 2.6)
7 0
3 years ago
In 5 hours a small plane can travel downwind for 4000 kilometers or upward 3000 kilometers. Find the speed of this plane with no
Law Incorporation [45]

Answer:

discuss this question is about packhouse a small plant can travel 400 kilometre aur 2000 kilometre find the speed with a plan with no wind and a speed on the answer you will be given to you divide 5 400 the four hundred and 51 you divide the answer to get dawat 310 you will find the extra answer

4 0
4 years ago
Help pleaseeee thank you
nadezda [96]

Answer its 24x8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(-3+7i)(1-2i) can you help me with the answer to this
lozanna [386]

Answer:

11 + 13i

Step-by-step explanation:

A must know is that

\sqrt{i}  =  - 1

Complex numbers

1st: foil the equations

- 3(1 - 2i) + 7i(1 - 2i)

- 3 + 6i + 7i- 14 {i}^{2}

2nd Combine like terms and substitute

i ^{2} for \:  - 1

- 3 + 14  + 13i

11  +  13i

4 0
2 years ago
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