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3 years ago

Multiply. Write the answer in standard form. (8+3i)2=

Mathematics

1 answer:

Flauer [41]3 years ago

6 0

Answer:

55 +48i

Step-by-step explanation:

Complex numbers can be treated as though they were binomials with a variable "i". At the end, any instance of i² can be replaced by -1.

(8 +3i)² = 8² + 2(8)(3i) +(3i)² = 64 +48i -9

= 55 +48i

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How do you do this. Please give a full answer and explain why.

OverLord2011 [107]

Law of Exponent

$\displaystyle \large{ {a}^{ - n} = \frac{1}{ {a}^{n} } }$

Compare the terms.

$\displaystyle \large{ {a}^{ - n} = {( - 2)}^{ - 3} }$

Therefore, a = -2 and n = 3. From the law of exponent above, we receive:

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ {( - 2)}^{ 3} } }$

Exponent Def. (For cubic)

$\displaystyle \large{ {a}^{3} = a \times a \times a }$

Factor (-2)^3 out.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{( - 2) \times ( - 2) \times ( - 2)}}$

(-2) • (-2) = 4 | Negative × Negative = Positive.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{4 \times ( - 2)}}$

4 • (-2) = -8 | Negative Multiply Positive = Negative.

$\displaystyle \large{ {( - 2)}^{ - 3} = \frac{1}{ - 8}}$

If either denominator or numerator is in negative, it is the best to write in the middle or between numerator and denominators.

Hence,

$\displaystyle \large \boxed{ {( - 2)}^{ - 3} = - \frac{1}{ 8}}$

The answer is - 1 / 8

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Answer:

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alexandr1967 [171]

The solution to the given equation is x = ±7. The correct option is d. x = ±7

<h3>Solving quadratic equations </h3>

From the question, we are to determine the solution to the given equation

The given equation is

x²-49 = 0

NOTE: I assumed the variable is x

Solving the equation

x²-49 = 0

Writing in the form ax²= c

x² = 49

∴ x = ±√49

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Hence, the solution to the given equation is x = ±7

Learn more on Solving quadratic equations here: brainly.com/question/24334139

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