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2 years ago

Solve n³ + 2n² - 15n = 0 by factoring. Show the factored form of the equation, and the resulting solutions.

Mathematics

2 answers:

Semenov [28]2 years ago

5 0

Answer: n = 0

n = 3

n = - 5

Step-by-step explanation:

The given cubic equation is expressed as

n³ + 2n² - 15n = 0

Since n is common to each term, we would factorize n out. It becomes

n(n² + 2n - 15) = 0

n = 0 or

n² + 2n - 15 = 0

To further factorize the quadratic equation, we would would find two numbers such that their sum or difference is 2n and their product is - 15n². The two numbers are 5n and - 3n. Therefore,

n² + 5n - 3n - 15 = 0

n(n + 5) - 3(n + 5) = 0

(n - 3)(n + 5) = 0

n = 3 or n = - 5

laila [671]2 years ago

4 0

Step-by-step explanation:

Take n common

n(n²+2n-15)=0

now factorise the quadratic one as n when goes to RHS it becomes zero

n²-3n+5n-15=0

n(n-3)+5(n-3)=0

n=3,-5

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Sloan [31]

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3 years ago

Read 2 more answers

What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
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3 years ago

Multiply to -260 add to 7

djyliett [7]

What can you be more specific like a put it in a sentence. For example x*-260+7=?

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3 years ago

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Ugo [173]

Answer:

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Step-by-step explanation:

You must use its formula: which is

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2 years ago

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3. Consider the linear equation 2y - 3x = 5.

nignag [31]

Answer:

Step-by-step explanation:

2y - 3x = 5

2(-2) - 3x = 5

-4 - 3x = 5

-3x = 9

x = -3

(-3,-2) is another solution

(-1,1)

2y - 3x = 5

2(1) - 3(-1) = 5

2 + 3 = 5

5 = 5

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(4,1)

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