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bearhunter [10]
3 years ago
13

Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.) x4 − 8x2 + 7 = 0

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Answer: x=0 or x= plus or minus 2

Step-by-step explanation:

g(x)=x^4-8x^2+7

Critical numbers are the numbers where the first derivative is zero

g'(x)=4x^3-16x+0

=4x^3-16x

g'(x)=0

Implies

4x^3-16x=0

4x(x^2-4)=0

4x=0 OR x^2-4=0

x=0 or x^2=4

x=0 or x= plus or minus 2

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Answer:

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The average monthly rent for a? 1000-sq-ft apartment in a major metropolitan area from 1998 through 2005 can be approximated by
Lunna [17]

Answer:

  t = 1.107

Step-by-step explanation:

Finding the solution using derivatives involves finding the lower zero of the quadratic that is the second derivative of the given function. That second derivative will be ...

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  = 20.0568t^2 -134.7t +124.54

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  t ≈ 3.35796 -√(101.619/20.0568) ≈ 1.10706

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8 0
3 years ago
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

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blondinia [14]

Answer:

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