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2 years ago

How do you check is the equation is a extraneous solution pr not?

1 answer:

6 0

We can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.

<h3>What is the extraneous solution?</h3>

In mathematics, an extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem, such as the answer to an equation.

As we know from the definition the extraneous solution is a solution that comes from the process of solving the problem but is not a genuine solution to the problem.

Let's suppose the equation is:

$\rm \sqrt{x+4} = x -2$

Squaring both the sides:

x + 4 = (x - 2)²

x + 4 = x² - 4x + 4

x² -5x = 0

x = 0 or x = 5

Checking for the solution by plugging in the equation;

$\rm \sqrt{5+4} = 5 -2$

3 = 3

$\rm \sqrt{0+4} = 0 -2$

2 ≠ -2

The solution x = 0 shows extraneous solution.

Thus, we can check the equation is an extraneous solution or not by finding the solution and plugging it in the equation, to verify it.

Learn more about the extraneous solution here:

brainly.com/question/14054707

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Function : y=4 sin(3x)-2

STatiana [176]

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

4 0

3 years ago

six friends share 5 meat pies. each friend first eats half of a meat pie. how much more meat pie does each friend need to eat to

Margaret [11]

So at the beginning, the friends eat 3 meat pies in total. So that leaves two meat pies left.
So basically, we divide the meat pies by the number of friends.
2/6 is 1/3
So each friend needs to eat 1/3 of a meat pie

8 0

4 years ago

Find the number of letters from the word MAXIMUM where two consonants cannot occur. (Permutation)

Hunter-Best [27]

Answer:

Step-by-step explanation:

In word MAXIMUM, consonants are M & X. According to the question itself, consonants should not occur together.

So, we have to put vowels at each even position; only then the condition will be satisfied.

We can put this in 3! ways (permutations of A, I & U).

For odd positions we can put 3-M's & a X. Total ways is 4!/3! (as repetitions of M).

Hence, the answer is 4!/3! x 3! = 24 ways.

24=4!.

5 0

3 years ago

In the diagram below, triangle abc ~ triangle dec . What is the value of x? A. 28 b. 24 c. 22 d. 26

Lesechka [4]

Answer:

Option A.

Step-by-step explanation:

From the figure attached,

Given : ΔABC ~ ΔDEC

By the property of similarity,

"Corresponding sides of the similar triangles are proportional"

$\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}$

Since, $\frac{\text{AB}}{ED}=\frac{AC}{DC}$

$\frac{42}{6}=\frac{x}{(32-x)}$

6x = 42(32 - x)

6x = 1344 - 42x

6x + 42x = 1344

48x = 1344

x = $\frac{1344}{48}$

x = 28 units

Therefore, Option (A). x = 28 units will be the answer.

4 0

3 years ago

Daria invested $5,000 in an account that earns 5% interest annually. She will earn $(blank) in interest over nine months.

Murrr4er [49]

5000*.05. The answer is $250.

4 0

2 years ago