What are the solutions of this quadratic equation?
x2 − 10x = -34

Answers

Answer 1
Answer:

The roots of the equation are imaginary numbers, 5+6i, 5-6i.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The quadratic equation is

x² -10x = -34

x² -10x +34 = 0

The roots formula for a quadratic equation is given by

x = ( -b \pm √(b^2 -4ac))/(2a)

Here a = 1

b = -10

c =  34

The roots of the equation are

x = ( 10 \pm √((-10)^2 -4*34))/(2)

\rm x = ( 10 \pm √(-36))/(2)\n\n\nx = 5 \pm 6i

To know more about Quadratic Equation

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Answer 2
Answer: Here it is, step by step:

x^2 - 10x = -34
x^2 - 10x + 34 = 0
We cannot easily factor anything, so we resort to the quadratic equation. The work is attached as an image.

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Answers

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Nicole just lit a new candle and then let it burn all the way down to nothing. Theinitial length of the candle was 12 inches and the candle burned at a rate of 1.5 inches
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Answers

Answer: first one is 12 then second one is 10.5 then the third 9 then the fourth one is 7.5

Step-by-step explanation:

Layla is cutting bows out of ribbon which will be used to wrap gifts. If Layla needs 21/22of a foot of ribbon to make a bow, and she has 21 feet of ribbon, then how many bows can Layla make?​

Answers

Answer:

21 bows

Step-by-step explanation:

Since 21/22 is just 1 short of a whole 1, we can first round it up to a whole 1, and subtract it later. 21 divided by 1 is just 21, and now is the time to subtract the part in which we rounded out. 1/22 times 21 is 21/22, so Layla can't make an entire bow with it.

Suppose Mike has a dresser with 3 tan pants, 5 jeans, 2 black pants, and 3 gray pants. He also has 2 brown shoes, 3 black shoes, and 2 blue shoes. If he randomly chooses a pair of pants and shoes, what is the probability that both are black? Give your answer as an exact fraction and reduce the fraction as much as possible.

Answers

Answer:

Probability of choosing a black pair of pants and shoes = (6)/(91)

Step-by-step explanation:

Given:

Total number of pants Mike has =\textrm{ 3 tan pants + 5 jeans + 2 black pants + 3 gray pants = 13 pair of pants}

Probability of randomly choosing a pair of black pants = \frac{\textrm{Number of Black pants}}{\textrm{Total number of pants}} = (2)/(13)

Total number of shoes Mike has = \textrm{ 2 brown shoes + 3 black shoes + 2 blue shoes = 7 pairs of shoes}

Probability of randomly choosing a pair of black shoes = \frac{\textrm{Number of Black shoes}}{\textrm{Total number of shoes}} = (3)/(7)

Probability of choosing a black pair of pants and shoes =  (2)/(13)* (3)/(7) = (6)/(91)

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Answers

Answer:

Most of the mens shoes in the data sets cost more than the womens shoes

Step-by-step explanation:

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Answers

Answer:

$2.50

Step-by-step explanation:

$30 divided by 12 = 2.5

Each bagel is $2.5