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mixas84 [53]
3 years ago
7

27x^3-8=0 all real solutions

Mathematics
2 answers:
ipn [44]3 years ago
4 0
<span><span>1. x =(-6-√-108)/18=(-1-i√<span> 3 </span>)/3= -0.3333-0.5774i</span><span> 
2. x =(-6+√-108)/18=(-1+i√<span> 3 </span>)/3= -0.3333+0.5774i</span><span> 
3. x = 2/3 = 0.667</span></span>
Mila [183]3 years ago
4 0
We have, x^3 = 8/27;
The only real solution is x = \sqrt[3]{ \frac{8}{27} } = 2/3;
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That is equivalent to 8√10


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Drupady [299]

I think that it's B, y = -x - 7 because first you'd subtract y to get it on the other side then add x and then you'd need to make the y positive so you would divide x + 7 by -1 and that would make it y = -x - 7.

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Answer:

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7 0
3 years ago
Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi
Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

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To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

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3 years ago
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