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Pavlova-9 [17]
3 years ago
7

How do you solve for n^3 + 3n^2 + n - 33 = 0?

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

  one real root: n ≈ 2.38450287889

Step-by-step explanation:

My favorite solution method for higher-degree polynomials is to use a graphing calculator.

Descartes' rule of signs tells you the one sign change among coefficients means there will be one positive real root. A graph shows you it is about 2.4, hence irrational (not a divisor of 33, so not rational).

You can use a cubic formula to find an explicit expression for the root, or you can find its value using any of several iteration methods. The attachment shows Newton's method iteration being used to refine the graph value of 2.385 to the more accurate 2.38450287889.

__

Factoring that root from the cubic results in a quadratic with irrational coefficients. Its vertex form is approximately ...

  y = (n +2.692)² + 6.591

Hence, the complex roots will be near -2.692±i√6.591.

_____

There are formulas for the roots of a cubic. The formula tells you the real root for this cubic is ...

  n = 2√(2/3)cosh(1/3·arccosh(24√(3/2))) -1 ≈ 2.38450287889

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aleksandrvk [35]

Answer:

y\leq15.5

Step-by-step explanation:

The Total Amount taken to the store by Jerome = $20

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Let y be the most he could spend on CDs

Since he is spending on books and CDs, the amount spent cannot be more than total sum he has, therefore:

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This is because he could spend either less than $20 or exactly $20

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3 years ago
What is 0.8333 forever in a fraction
Nady [450]

There are a couple of different approaches you can use for this. Here's one.

1. Determine how many digits repeat. (There is just one repeating digit.)

2. Call your number x. Multiply x by 10 to the power of the number of digits found in step 1.

x = 0.8\overline{3}\\10^{1}x=8.3\overline{3}

3. Subtract the original number, then solve for x.

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If you recognize that 0.333... (repeating) is 1/3, then you know that 0.0333... (repeating) is 1/10×1/3 = 1/30. Add that to 0.8 = 4/5 and you get

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Answer:

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Step-by-step explanation:

It would be 5/6 because there are 5 possible answers other than 3 making it 5/6

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Step-by-step explanation:

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hope this helps :)

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3 years ago
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