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2 years ago

X^2 + 4x = 6 solve by completing the square plz show step by step

Mathematics

2 answers:

Hitman42 [59]2 years ago

8 0

Answer:

x = -2 ±sqrt( 10)

Step-by-step explanation:

x^2 + 4x = 6

Take the coefficient of x

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2 + 4x+4 = 6+4

Take the 4/2 term which is the factor inside the (x+ )^2

(x+2)^2 = 10

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 10)

x+2 = ±sqrt( 10)

Subtract 2 from each side

x+2-2 = -2±sqrt( 10)

x = -2 ±sqrt( 10)

MakcuM [25]2 years ago

7 0

Answer:

x= +/- \sqrt(10) - 2

Step-by-step explanation:

use the formula (b/2) in order to create a new term.

Solve for x by using the term to complete the square.

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One number is 8 greater than another. The product of the numbers is 84. Find the numbers.

mario62 [17]

Let x,y be the two numbers.

Given that one number is 8 greater than another.

Let x be the smaller number ans y be the greater number.

That is y=x+8. Let this be the first equation.

And also given that product of the two numbers is 84.

That is x × y = 84, let us plugin y=x+8 here.

x × (x+8) = 84

x²+ 8x -84 = 0.

x²+12x-4x-84 = 0

x(x+12)-4(x+12) =0

(x-4)(x+12)=0

That is x= 4 or -12.

Hence two positive numbers corresponding to given conditions are 4,12.

And two negative numbers corresponding to given conditions are -12,-4.

Step-by-step explanation:

hope it may help you!!

please mark as brainlist please (´;︵;`)

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2 years ago

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svet-max [94.6K]

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2 years ago

Th the mean of the data is set 15 what number is missing<br> 18,16_,9,12,23

Wittaler [7]

Answer:

The missing number on the given data set is 12.

Step-by-step explanation:

Here, the set of data = 18,16_,9,12,23

Let us assume the missing number in the data = m

The mean of the data = 15

Total number of observations = 6

Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m

Also, $\textrm{ Mean of the given Data} = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}$

$\implies 15 = \frac{78+ m}{6} \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12$

or, m = 12

Hence, the missing number on the given data set is 12.

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2 years ago

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Korvikt [17]

Answer:

Option 2

Step-by-step explanation:

2 + ¾(t) > 10

¾(t) > 8

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2 years ago

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval o

aleksklad [387]

Answer:

A continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers is a(n) __uniform__________ distribution

Step-by-step explanation:

Given that there is a continuous probability distribution having a rectangular shape, where the probability is evenly distributed over an interval of numbers

Since the pdf is rectangular in shape and total probability is one we can say all values in the interval would be equally likely

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