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lisov135 [29]
3 years ago
13

Given 2x^2=-8, x is A.-2 B. 2 C. 2i or -2i D. 4i or -4i

Mathematics
2 answers:
leonid [27]3 years ago
7 0
<h2>Answer:</h2>

The value of x is \bold{\pm 2 i}

<h2>Given: </h2>

2 x^{2}=-8

<h2>Solution: </h2>

In this problem, we need to find the variable ‘x’ where the value of the x will change according to the conditions provided in the problem. The value of the variable of determined with the help of the constants whose values never change.

Now, in the given problem, we have to bring the constants on one side and variable on one side.

So, on bring the 2 to denominator,

\Rightarrow x^{2}=-\frac{8}{2}

\Rightarrow x^{2}=-4

On taking square root,

\Rightarrow x=\sqrt{-4}

Since, the square is always positive, we cannot get a number with negative sign as a square. So, the square root of the negative number becomes an imaginary number because that number doesn't exist.

\Rightarrow x=\sqrt{(-1) \times 4}

\therefore x=\pm 2 i

Lera25 [3.4K]3 years ago
4 0

Answer:

2i or -2i

Step-by-step explanation:

2x² = -8     First, clear x.

x² = -8/2    Solve

x² = -4        Now, eliminate the square of x by solving the square root of -4.

x = √-4

x = 2i or -2i Is an imaginary number.

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katrin2010 [14]

\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}

<u>Step-by-step explanation:</u>

.\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}

5 0
3 years ago
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Aleks04 [339]
Part 1:

You have the correct answer. You multiply the probability of getting red (6/15) by the probailitiy of getting red (6/15) to get 36/225 which reduces to 4/25

--------------------------------

Part 2: 

This is also correct. Nice work. You multiply the probability of getting black (9/15) with the probability of getting red (6/15) to get 54/225 = 6/25

--------------------------------

Part 3:

The probability of picking a black checker is 9/15. If a replacement is made, then the probability of picking another black checker is also 9/15. So, 

(9/15)*(9/15) = 81/225 = 9/25

Answer: 9/25

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Part 4:

The probability of rolling a 6 is 1/6. The probability of rolling a 3 is 1/6 as well. This is because there is only one side with this label out of 6 total. Multiply the probabilities

(1/6)*(1/6) = 1/36

Answer: 1/36

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Part 5:

It is impossible to roll a 7 on the six sided cube because the highest number is 6. Therefore the overall probability is 0

Answer: 0

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Part 6:

There are 3 outcomes we want (rolling a 1,2, or 3) out of 6 total. So the probability of rolling a 1,2 or 3 is 3/6 = 1/2. Similarly, the probability of rolling a 4, 5 or 6 is 3/6 = 1/2 as well.

Multiplying the probabilities gives

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3 years ago
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