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2 years ago

What is x. Please show all the steps.

Mathematics

1 answer:

Zolol [24]2 years ago

8 0

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

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A triangular-shaped deck has one side that is 4 feet longer than the shortest side and a third side that is 4 feet shorter than

Inessa05 [86]

Answer:

The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.

Step-by-step explanation:

Assuming that the shortest side of this triangle has a length of "x" feet, then one side is "x + 4" feet and the third is "2*x - 4" feet. Since the perimeter of the deck is 80 feet, then the sum of the length of these sides should be equal to that.

$x + x + 4 + 2*x - 4 = 80\\4*x = 80\\x = \frac{80}{4} = 20 \text{ feet}\\$

The shortest side is 20 feet, the second side is 24 feet and the third side is 36 feet.

8 0

4 years ago

Find the inverse of the function f(x)=x-7

gulaghasi [49]

Answer:

$f^{-1}$ (x) = x + 7

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = x - 7 ( add 7 to both sides )

y + 7 = x

change y back into terms of x, then

$f^{-1}$ (x) = x + 7

6 0

3 years ago

Answer the question below

olga2289 [7]

Answer:

brown

5/6

green

1/2 or 3/6

5/6

-3/6

2/6

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Step-by-step explanation:

4 0

3 years ago

Solve the system using elimination. x − 4y = 4 and -3x − 4y = 12

olya-2409 [2.1K]

x - 4y = 4

-3x - 4y = 12

Subtract the first equation from the second

x - 4y = 4

-4x = 12

Divide the second equation by (-4)

x - 4y = 4

x = -3

Subtract the second equation from the first

- 4y = 7

x = -3

Divide the first equation by (-4)

y = -7/4

x = -3

<h3>So, the solution is x = -3 and y = - 7/4</h3>

6 0

3 years ago

Is -27 divided by (-3) positive or negative & how

zloy xaker [14]

Answer:

Step-by-step explanation:

-27/-3

27/3 is 9

each of them have a negative so it stays positive

7 0

3 years ago

Read 2 more answers

What is x. Please show *all* the steps.

What is x. Please show all the steps.