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Furkat [3]
3 years ago
9

What are the solution(s) of x2-4-0?

Mathematics
2 answers:
zaharov [31]3 years ago
7 0

Answer:

<h2>x = -2 or x = 2</h2>

Step-by-step explanation:

x^2-4=0\qquad\text{add 4 to both sides}\\\\x^2-4+4=0+4\\\\x^2=4\iff\sqrt{x^2}=\sqrt4\\\\|x|=2\Rightarrow x=\pm2

Elanso [62]3 years ago
4 0

Answer:

For x^2 - 4 = 0, x  = 2, or x = - 2.

Step-by-step explanation:

Here, the given expression is :

x^2 - 4 = 0

Now, using the ALGEBRAIC IDENTITY:

a^2 - b^2 = (a-b)(a+b)

Comparing this with the above expression, we get

x^2 - 4 = 0  = x^2 - (2)^2 = 0\\\implies (x-2)(x+2) = 0

⇒Either (x-2) = 0 , or ( x + 2) = 0

So, if ( x- 2)   = 0 ⇒ x =  2

and if ( x + 2) = 0   ⇒ x = -2

Hence, for x^2 - 4 = 0, x  = 2, or x = - 2.

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How many times larger is 70 than 7
Dennis_Churaev [7]

Answer:

63

Step-by-step explanation:


8 0
3 years ago
Solve four square root of six plus eight square root of four and explain whether the answer is rational or irrational.
Inga [223]

Answer:

4\sqrt{6}+16

Step-by-step explanation:

Given the expression: 4\sqrt{6}+8\sqrt{4}

\sqrt{4}=2\\$Therefore, \\4\sqrt{6}+8\sqrt{4}  =4\sqrt{6}+8*2\\  =16+4\sqrt{6}

We can re-write the answer as:

4\sqrt{6}+16

The answer is irrational because the sum of a rational number and irrational number is an irrational number.

<u>The correct option is B.</u>

7 0
3 years ago
Plot the vertex of f(x) = (x − 2)2 + 2.<br> PLEASE HELP ME IM UPSET
8090 [49]
<h3>Answer: The vertex is located at (2, 2)</h3>

====================================================

Explanation:

The general vertex form is

y = a(x-h)^2 + k

When we compare the function your teacher gave you to this template, then we see that

  • a = 1
  • h = 2
  • k = 2

The vertex is therefore (h,k) = (2,2)

The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).

3 0
3 years ago
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4
erma4kov [3.2K]

Answer:

The correct option is;

There is a greater percentage of LA residents who own a car than NYC residents who do

Step-by-step explanation:

The values are presented as follows;

LA residents who own a car = 3251

NYC residents who own a car = 1478

Total residents who own a car = 4729

LA residents who do not own a car = 869

NYC residents who do not own a car = 6182

Total residents who do not own a car = 7051

Total LA residents sampled = 4120

Total NYC residents sampled = 7660

Total residents of both cities sampled = 11780

Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%

Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%

The total number of people in the poll who own a car = 4729

Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.

7 0
3 years ago
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kvasek [131]
Four of them are pink so it’s 4/10 and 2/5
6 0
3 years ago
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