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OleMash [197]
3 years ago
9

Solve the rational equation 4 divided by x equals quantity 3 times x plus 2 end quantity divided by x squared, and check for ext

raneous solutions.
x = 0; x = 2 is an extraneous solution


x = 2; x = 0 is an extraneous solution


x = 0; x = −2 is an extraneous solution


x = −2; x = 0 is an extraneous solution
Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

Option 1- x = 0; x = 2 is an extraneous solution

Step-by-step explanation:

Given : The rational equation \frac{4}{x}=\frac{3x+2}{x^2}

To find : Solve the equation and check for extraneous solutions ?

Solution :

The equation \frac{4}{x}=\frac{3x+2}{x^2}

Cross multiply,

4\times x^2=(3x+2)\times x

4x^2=3x^2+2x

4x^2-3x^2-2x=0

x^2-2x=0

x(x-2)=0

x=0,x-2=0

x=0,x=2

For extraneous solution put the value of x in the equation,

At x=0,

\frac{4}{0}=\frac{3(0)+2}{(0)^2}

\infty=\infty True

At x=2,

\frac{4}{2}=\frac{3(2)+2}{(2)^2}

2=\frac{8}{4}

2=2 True

So, At x=0,2 is an extraneous solution

Therefore, Option 1 is correct.

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Answer:

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Step-by-step explanation:

4 0
3 years ago
Elijah drives 9 miles to his friends house in 1/6 hour. How fast does Elijah drive, in miles per hour? If he drives at this rate
katrin [286]

Answer:

He drives at 54 mph. He will get 108 miles if he drives at that rate for 2 hours.

Step-by-step explanation:

9 miles in 1/6 of an hour

9x6=driving speed of 54mph

54x2 is 108 miles


7 0
4 years ago
How to solve and graph these (system of equations) (plz show work!):<br><br> 2x-y=1 <br> x+y=2
9966 [12]
That should be the way you do it.

4 0
4 years ago
Read 2 more answers
A survey taken of 140 sports fans asked the question: "What is the most you have ever spent for a ticket to a sporting event?" T
Zarrin [17]

The IQR is 150 - 130 = 20. Using the 1.5(IQR) criterion we get 130 -1.5(20) = 100. Since the smallest observation of 85 is smaller than 100, it should be considered an outlier

8 0
4 years ago
3 (4x+6) =2 (6x+9) <br> cc
melamori03 [73]

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Step 1: Write equation

3(4x + 6) = 2(6x + 9)

Step 2: Solve for <em>x</em>

<u>Distribute:</u> 12x + 18 = 12x + 18

We see here that both sides of the equation are the same. Therefore, <em>x</em> is equal to infinite amount of solutions.

Another way to think about it is that the 2 lines are the same line. If both lines are the same, then they have infinite amount of solutions.

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