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joja [24]
3 years ago
6

If a^3-1/a^3=4 then what is the value of a-1/a ??

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

1 or -0.5±1.9365i

Step-by-step explanation:

We know that x^{3} - y^{3} = (x-y) ^{3} +3xy(x-y)

So plug in x=a and y=1/a, (a-1/a)^3+3*a*1/a*(a-1/a)=4

Let a-1/a=k, k^3+3k=4, k=1 or a complex conjugate -0.5±1.9365i

That's the answer.

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URGENT! FAST REPLY PLS!
Sergeeva-Olga [200]

Answer:

Step-by-step example explanation:

DOMAIN:

{

x

∣

x

≠

3

2

}

RANGE:

{

y

∣

y

≠

3

2

}

Explanation:

The domain consists of all numbers you can legally plug into the original. The excluded "illegal" values would be dividing by zero or negatives under square roots.

This expression has a denominator, so there is a risk of illegally dividing by zero. This would happen only if

2

x

−

3

=

0

2

x

=

3

x

=

3

2

This means that

x

=

3

/

2

is excluded from the domain. Therefore,

Domain: All real numbers except

x

=

3

/

2

. More formally, you could state the domain as

{

x

∣

x

≠

3

2

}

.

For rational functions, you find the range by evaluating the degree of the numerator compared to the degree of the denominator. If the degree of the top > degree of bottoms, then you have a horizontal asymptote at

y

=

0

. If they are equal, you have a horizontal asymptote. The coefficient of highest degree in the numerator is divided by the coefficient of the highest degree on the bottom. The result is

y

=

that fraction. So in our case, you have a horizontal asymptote at

y

=

3

2

7 0
3 years ago
X-( 26 + 4) = 65<br> x = ?
Pachacha [2.7K]
X-(26 + 4) =65 the answer is x=95
6 0
3 years ago
Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height
defon

Answer:

2 meters

Step-by-step explanation:

To find the maximum length of the seesaw, we just need to use the sine relation its angle with the ground.

The opposite side to the angle of 30° is the maximum height of 1 meter, and the hypotenuse is the length of the seesaw. So we have that:

sin(30) = height / length

0.5 = 1 / length

length = 1 / 0.5 = 2\ meters

So the maximum length of the seesaw is 2 meters.

4 0
3 years ago
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Vesnalui [34]

Answer:

with what?

Step-by-step explanation:

5 0
3 years ago
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bulgar [2K]

Answer:

trench

Step-by-step explanation:

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