All categories

2 years ago

Solve 4/x + 8/x+2 = 4

Mathematics

1 answer:

Trava [24]2 years ago

7 0

Answer:

x = 0 and x = 3

Step-by-step explanation:

I will assume that you mean:

4 8

---- + --------- = 4

x x + 2

Here the LCD is x(x + 2).

Multiplying all 3 terms by x(x + 2), we get:

4(x + 2) + 8x = 4(x)(x + 2), or

4x + 8 + 8x = 4x^2 + 8x

Cancelling the 8x terms, we have:

12x = 4x^2, or 3x = x^2, or x^2 - 3x = 0.

Factoring, we get x(x - 3) = 0, which results in x = 0 and x = 3.

You might be interested in

What is the density of the oak board, it's 5.5 inches wide, 1.5 inches thick , 3 feet long and weighs 8.05 lbs? Please show work

laiz [17]

Answer:

37 - 56 lb / ft3

0.6 - 0.9 103 kg / m3

Step-by-step explanation:

The density or hardness of wood varies by species, and the value is necessary to approximate the weight of lumber by volume. In this table, the density of different species of wood is expressed as weight in pounds per cubic foot and kilograms per cubic meter. The density will vary based on the moisture content of the wood.

8 0

2 years ago

Is the number ��12/4 rational

zalisa [80]

Yes because

12/4 is 3

8 0

2 years ago

-2x + 3y =-9<br> X+y = 2

geniusboy [140]

Answer:

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

Step-by-step explanation:

Given equations are $-2x+3y=-9\hfill (1)$

$x+y=2\hfill (2)$

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

$2x+2y=4\hfill (3)$

Now adding the equations (1) and (3)

$-2x+3y=-9$

$2x+2y=4$

_______________

$5y=-5$

$y-\frac{5}{5}$

Therefore y=-1

Now substitute the value of y=-1 in the equation (1) we get

-2x+3(-1)=-9

-2x-3=-9

-2x=-9+3

$=-\frac{-6}{-2}$

Therefore x=3

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

8 0

2 years ago

If a/\2+1/a/\2=11, then a+1/a=?

Nadya [2.5K]

Answer:

$\pm \sqrt{13}$

Step-by-step explanation:

$\bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13}$

5 0

3 years ago

Find the area of this triangle.

Oxana [17]

Answer:

The area is 104

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers