All categories

2 years ago

What is the solutions of the equation 2 (x+2) ^2-4=28

Mathematics

1 answer:

JulsSmile [24]2 years ago

3 0

Answer:

x = 2 x = -6

Step-by-step explanation:

2 (x+2) ^2-4=28

Add 4 to each side

2 (x+2) ^2-4+4=28+4

2 (x+2) ^2= 32

Divide by 2

2/2 (x+2) ^2=32/2

(x+2)^2 = 16

Take the square root of each side

sqrt((x+2)^2) =±sqrt( 16)

x+2 = ±4

Subtract 2 from each side

x+2-2 = -2±4

x = -2±4

x = -2+4 and x = -2-4

x = 2 x = -6

You might be interested in

If an integer n has three unique prime divisors, then it follows that the largest prime divisor of n is less than or equal to cu

TiliK225 [7]

Answer:

False

Step-by-step explanation:

Lets call the three prime divisors of n p, q, and r, being r the largest, we know:

$n=q * p * r$

Now, if

$q * p < r$

then

$n < r * r = r^2$

So:

$\sqrt{n} < \sqrt{r^2} = r$

Also, for every natural greater than one, we know:

$\sqrt[3]{n}$

from which:

$\sqrt[3]{n} < r$

So, we see, this means the preposition is false, we can find a particular counterexample:

q=2

p=3

p*q = 6

We need to choose a prime greater than 6

r=7

n= 2 * 3 *7 = 42

$\sqrt[3]{42} = 3.4760 < 7$

4 0

3 years ago

PLS HELP ASAP PLS GIVE A GOOD EXPLANATION

taurus [48]

Negative integer.

-761 + 317= -444

Plug the answer in:

-761 - (-444)
= -317

Reminder: when multiplying two negatives, you get a positive.

4 0

3 years ago

Read 2 more answers

John has a box that is in the shape of a cube (i.

Artemon [7]

A box (cube) has all equal edges or sides (s), thus the volume (v) of the cube is:
$v = {s}^{3} \\ 27 \: {in}^{3} = {s}^{3} \\ \sqrt{( {s}^{3}) } = \sqrt{( {27in}^3)} \\ s = 3 \: in$
So since each side or edge around is 3 in, then the length around the square bottom of the box = 4×3 = 12 in

5 0

2 years ago

A class is taking a trip to the aquarium. The teacher has received only 2 permission slips for every 5 students in the class. Us

Black_prince [1.1K]

Answer:

help

Step-by-step explanation:

Im doing the test now can you tell me what it is please

6 0

2 years ago

Read 2 more answers

Select the correct answer.