Use square roots to solve the equation x2 = –64 over the complex numbers. Select any solutions that apply.
A. 8i
B. –8
C. –8i2
D. –8i

Answers

Answer 1

Answer:

Options A and D are correct

Step-by-step explanation:

Here, we want to find the square root of the negative number;

x^2 = -64

x^2 = 64 * -1

x= √64 * √-1

Mathematically we can write the √-1 as i

X = √64 * i

Square root of 64 is plus or minus 8

so x = -8i or 8i

Answer 2

The solutions of an equation are the true values of the equation.

The expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]

The equation is given as:

[tex]\mathbf{x^2 = -64}[/tex]

Take square roots of both sides

[tex]\mathbf{x = \pm\sqrt{-64}}[/tex]

Expand

[tex]\mathbf{x = \pm(\sqrt{64} \times \sqrt{-1})}[/tex]

[tex]\mathbf{x = \pm(8 \times \sqrt{-1})}[/tex]

In complex numbers,

[tex]\mathbf{ \sqrt{-1} = i}[/tex]

So, we have:

[tex]\mathbf{x = \pm(8 \times i)}[/tex]

[tex]\mathbf{x = \pm8i}[/tex]

Split

[tex]\mathbf{x = 8i\ or -8i}[/tex]

So, the expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]

Read more about expressions at:

https://brainly.com/question/23767452


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1.) Solve for c:
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Answers

Answer:

Step-by-step explanation:

Squandering Sam has $1,050 in his bank account. Every week he withdraws $40 to buy scratch off tickets. Saving Sally doesn’t have any money now, but is depositing every penny of the $35 a week she makes into a bank account. How many weeks will it take for Sam and Sally to have the same amount of money in their accounts?

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Answer:

15 weeks

Step-by-step explanation:

Week 1: 1,050 ≠ 0

Week 2: 1,010 ≠ 35

Week 3: 970 ≠ 70

Week 4: 930 ≠ 105

Week 5: 890 ≠ 140

Week 6: 850 ≠ 175

Week 7: 810 ≠ 210

Week 8: 770 ≠ 245

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Week 10: 690 ≠ 315

Week 11: 650 ≠ 350

Week 12: 610 ≠ 385

Week 13: 570 ≠ 420

Week 14: 530 ≠ 455

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Jason solves a math problem on the board using the Power of Products Property. Is his answer correct? Explain.

63 • 73 = 423
A.


Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B.


Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C.


No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D.


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Answers

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Step-by-step explanation:

the answer to ur question is A

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5(3a) - 2(4) = 22

15a - 8 = 22

15a = 30

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Answers

Answer:

-1/15 because it is closer to zero on the negative half of a number line.

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

james want to buy a sirt that cost 95 dollars. he only has 60 dollars saved.

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Answers

Answer:

The number of touch downs = 11

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Step-by-step explanation:

The number of times UT Longhorns scored = 15 times

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The points that came from each point kick = 1 points

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Let the number of point kicks = P

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in health class the students were asked what grains they preferredin the breakfeast cereal. What is the probibility that a random chosen student in the health class is listed out as their favorite grain?
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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:  

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Step-by-step explanation:

Hope this helps!

Answer:

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✔ transform

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✔ convergent

At what type of boundary do rift basins form?

✔ divergent

At what type of boundary do arc basins form?

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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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Simple

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