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Natali5045456 [20]
2 years ago
13

Please answer correctly and no links​

Mathematics
1 answer:
krek1111 [17]2 years ago
4 0

Answer:

-6.825 (-2 33/40). hope this helps

Step-by-step explanation:

- Zombie

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Which equation has the solutions x = -3 ± √3i/2 ?
Maurinko [17]

Answer:Answer is option C : [x^{2} + 3x + 3 ] =0

Note:  None of options matches with given question.

instead of "-3" , there should be "-\frac{3}{2}".

Step-by-step explanation:

Note:  None of options matches with given question.

instead of "-3" , there should be "\frac{3}{2}".  

Here, First thing you have to observe the nature of roots.

∴ x = -\frac{3}{2}+\frac{\sqrt{3}}{2}i and x = -\frac{3}{2}-\frac{\sqrt{3}}{2}

∴ [ x+(\frac{3}{2}-\frac{\sqrt{3}}{2}i) ][ x+(\frac{3}{2}+\frac{\sqrt{3}}{2}i) ]=0

∴ [ x^{2} + x(\frac{3}{2}+\frac{\sqrt{3}}{2}i)+ x(\frac{3}{2}-\frac{\sqrt{3}}{2}i) + (\frac{3}{2}-\frac{\sqrt{3}}{2}i)(\frac{3}{2}+\frac{\sqrt{3}}{2}i) ]=0

∴ [x^{2} + \frac{3}{2}x + \frac{\sqrt{3}}{2}ix + \frac{3}{2}x - \frac{\sqrt{3}}{2}ix + (3-\frac{\sqrt{3}}{2}i)(3+\frac{\sqrt{3}}{2}i) ] =0

∴ [x^{2} + 3x + (\frac{3}{2}-\frac{\sqrt{3}}{2}i)(\frac{3}{2}+\frac{\sqrt{3}}{2}i) ] =0

∴ [x^{2} + 3x + \frac{9}{4} - (\frac{\sqrt{3}}{2}i)(\frac{\sqrt{3}}{2}i) ] =0

∴ [x^{2} + 3x + \frac{9}{4} - (\frac{3}{4}) i^{2} ] =0

∴ [x^{2} + 3x + \frac{9}{4} + (\frac{3}{4}) ] =0

∴ [x^{2} + 3x + \frac{12}{4} ] =0  

∴ [x^{2} + 3x + 3 ] =0  

Thus, Answer is option C : <em>[x^{2} + 3x + 3 ] =0  </em>

6 0
3 years ago
A farmer has 100 m of fencing to enclose a rectangular pen. Which quadratic equation gives the area (A) of the pen, given its wi
inn [45]

A(w)=50w-w2 if the perimeter is 100, I plugged in possible values for the width...I used w=15 and length = 35 for a perimeter of 100. then I plugged these values in the possible equations until I found the correct one giving me an area of 525 (15x35) . I could not think of an easier way.

5 0
3 years ago
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The diameter of an ancient chariot wheel is 2 meters. What is the approximate distance the chariot travels if the wheel rotates
ohaa [14]
First we need to find the circumference
C= 2 pi r or C= d*pi
d=2 m
C=2*3.14=6.28
distance traveled=6.28 m*120=753.60 m
7 0
3 years ago
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A jet took 4 hours to fly 1800 miles against a head wind, jets speed was 525 miles per hour what was the wind speed
Ksenya-84 [330]
Well its a pretty strong wind the answer is 75 mph

First you find out the distance without the wind which is 4x525 or 2,100

Now subtract 1800 from that and you get 300

But you’re still not done because 300 is the number of miles effected by the wind in the whole flight of 4 hours.

So just divide it by 4 and you get 75. So the wind is a 75 mph wind.

Brainliest my answer if it helps you out?
7 0
3 years ago
Solve for i<br><br> 3 (.5i - 6 ) = 12
Ludmilka [50]

Answer:

15i-18=12

15i=12+18

15i=30

i=30/15

i=2

7 0
3 years ago
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