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Liono4ka [1.6K]
3 years ago
13

Why is x^4 the largest perfect square of x^5

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Because x^5 has 5 members. When you group them into 2 members each, there is one x left over. This is most easily seen if you try it with numbers.

The clearest way is to pick something that is not a perfect square to start with.

6 * 6 * 6 * 6 * 6

6^2 is a perfect square. It is grouped into 2 groups. Each one is a 6

So 6^2 = 36. 36 is a perfect square.

You should note that 6 ^3  is not a perfect square. One of the 6s is unmatched and you get a fraction when you square root 6^3.

6 * 6 * 6 = 216. The square root of 216 is 14.697... which goes on forever.

6^4 is a perfect square.

6^4 = 1296 The square root of 1296 is 36.

You might be interested in
The area of a door is 3024 square inches. If
olasank [31]

Answer:

Lets take all factors into consideration first

The door is a rectangle and the area of a rectangle is length times width

Let the width be w

Let the length be l

Equation length × breadth = area

(w+48)w = 3024

w^2 + 48w = 3024

w^2 + 48w - 3024 = 0

w^2 + 84w - 36w - 3024 = 0

w(w + 84) -36 ( w + 84) = 0

(w + 84) (w - 36) = 0

w + 84 = 0 AND w - 36 =0

w = -84 and w = 36

Since width cannot be negative, the right answer is 36

How did I get 84 and 36? Well, I had to factorize 3024 and since 84 times 36 is 3024 and 84 minus 36 is 48, I chose them.

7 0
3 years ago
PLEASE HELP ASAP!!!! A computer randomly selects a number from the given set. {1, 2, 5, 10, 25, 30, 36} What is the probability
valina [46]
There are 4 even numbers in your sample space - 2,10,30, and 36 out of 7 total numbers.
P(even) = 4/7.
5 0
3 years ago
Read 2 more answers
After 8 minutes, what is the position of Submarine D, relative to sea level?
ella [17]

Answer:

-30

Step-by-step explanation:

-3 3/4x8=-30 hope this helps

8 0
3 years ago
Five times the sum of a number and three is the same as three times the difference of twice the number and one what is the numbe
cupoosta [38]

Answer:

the number is 105

Step-by-step explanation:

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

5x + 15 = 6x - 3

15 = 1x - 3  

(15 + 3)

x = 18

3 0
3 years ago
What is x in this equation- 3/2x-7=-11
Sunny_sXe [5.5K]

3/2x-7=-11


We move all terms to the left:


3/2x-7-(-11)=0



Domain of the equation: 2x!=0


x!=0/2


x!=0


x∈R



We add all the numbers together, and all the variables


3/2x+4=0


We multiply all the terms by the denominator



4*2x+3=0


Wy multiply elements


8x+3=0


We move all terms containing x to the left, all other terms to the right


8x=-3


x=-3/8


x=-3/8

3 0
3 years ago
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