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Goryan [66]
3 years ago
13

Solve equation, check for extraneous solutions

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Start with

1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}

We observe that both fractions are not defined if n=0. So, we will assume n \neq 0.

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}

We multiply both sides by 3n^2:

n^2-4n-2=3n^2

We move everything to one side and solve the quadratic equation:

2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1

We check the solution:

1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0

which is true

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I'LL GIVE YOU 24 POINTS!!!!
katovenus [111]

cubic means 3 so there is a total o 3 roots

there is 1 real zero ( where the line crosses the x axis) the other 2 would be complex zeros


 Answer is D

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3 years ago
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Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re
UkoKoshka [18]
It is said that 85% of the students liked reading mystery stories. This means the remaining 15% don't like to read these stories. If there are 30 students belonging to the second category, then the number of students who liked reading mystery stories is (30/0.15)*0.85 equal to 170 students out of 200 students.
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Difference between 1 8/10 and 2 2/5
Eva8 [605]
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:

1 8/10   -->   18/10
2 2/5   -->   12/5

Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:

12/5 * 2/2 = 24/10

Now we can set up the equation as:

18/10 - 24/10 = -6/10   -->   -3/5

The answer is negative 3/5.

I hope this helps.
5 0
3 years ago
Pls help pls help i will award brainliest.
WINSTONCH [101]

Answer:

-24

Step-by-step explanation:

4a+8-a

a=-2

4(-2)+8-(-2)

-8+-16

=-24

:)

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3 years ago
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What is the percent of decrease from 90,000 to 60,000?
Iteru [2.4K]

Answer:

33.34%

Step-by-step explanation:

  1. 60000 = 66.66% from 90.000
  2. The decreasing is 30.000 which equal to 33.33% from 90.000
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2 years ago
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