Find all complex solutions of x^2=i

Answers

Answer 1

Answer: Simple...

it's saying $x^(2) =i?$

To find the answer just take the root of both sides and solve.

$\sqrt{ x^(2) } = √(i)$

But, remember, there's the positive side of the answer...and the negative side of the answer...

x= $√(i) ,- √(i)$

Thus, your answer.

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Simplify the equation simplify x^5/8/x^1/6

Answers

$(x^(5)/(8))/(x^(1)/(6))=x^{(5)/(8)-(1)/(6)}=x^{(15)/(24)-(4)/(24)}=x^(11)/(24)$

Jake wants to enlarge his 12-foot by 14-foot garden. If he multiplies the dimensions by 2, how will the area of the garden be affected?

Answers

Area = L*W
Original Area = 12*14 = 168
Multiply the dimensions by 2 = 12*2 = 24 and 14*2 = 28
New Area = 24 *28 = 672

New Area divided by original area = 672/168 = 4

The garden will be 4 times bigger in area

In year 1, nominal GDP for the United States was $2,250 billion and in year 2 it was $2,508 billion. The GDP deflator was 72 in year 1 and 79 in year 2. Between year 1 and year 2, real GDP rose by:

Answers

Answer:

1.6%

Step-by-step explanation:

The real GDP is given by the nominal GDP divided by the GDP deflator, the real GDP for year 1 and year 2, respectively, were:

$GDP_1=(2250)/(0.72)\nGDP_1=\$3,125\ billion\n\nGDP_2=(2,508)/(0.79)\nGDP_2=\$3,174.68\ billion$

The percentage change in GDP is:

$P=(3,174.68-3,125)/(3,125)\n P=0.016=1.6\%$

Between year 1 and year 2, real GDP rose by 1.6%.

Khali and Juan are using ribbon to decorate their art project. The ratio of the length of Khali’s ribbon to the length of Juan’s ribbon is 8:5. If Khali used a total of 72 cm of ribbon, how much did Juan use?

Answers

Answer:

45 cm

Step-by-step explanation:

First, you want to clarify the ratio:

Khali = 8 cm = 72 cm

____ _____ ______

Juan = 5 cm = x cm

To find the missing variable, cross multiply and simplify for x:

8x = 72(5)

8x = 360

x = 45

So, Juan used 45 cm of ribbon if Khali used 72 cm.

Jim has three times as many comic books as Charles. Charles has 2/3 as many books as Bob. Bob has 27 books. How many comic books does Jim have?

Answers

$(2)/(3)*27=18$ Charles books
$18*3=54$ Jim books
Him have 54 comic books

Alex and Ben were given a total of £360 they shared the money in the ratio 5:7 Ben received more money then Alex.how much more?

Answers

first
360 divided by 12=30
alex got=30 multiply 5=150
ben got=30 x 7 =210
so ben got 60 more than alex

5:7 means that Alex got 5/12 of the whole amount and Ben 7/12.
(5/12)•360=150
(7/12)•360= 210
210-150=60
Ben received £60 more than Alex.
Hope it helps :)

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