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lord [1]
2 years ago
7

How to Factor the Trinomial x^2 - x + 1 using the box method?

id="TexFormula1" title="x^2 - x + 1" alt="x^2 - x + 1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IRINA_888 [86]2 years ago
7 0

Answer:

x = 1+√3 i/2 and x = 1-√3 i/2

Step-by-step explanation:

Given the expression x^2 - x+ 1, we are to factorize the expression as shown;

x^2 - x+ 1,

using the general formula

x = -(-1)±√1²-4(1)/2(1)

x = 1±√1-4/2

x= 1±√-3/2

x = 1±√3 i/2

Hence the required value of x are x = 1+√3 i/2 and x = 1-√3 i/2

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A rectangular parking area measuring 5000 ft squared is to be enclosed on three sides using​ chain-link fencing that costs ​$5.5
kaheart [24]

Answer:

Dimensions: 75.3778 ft and 66.3325 ft

Minimum price: $1658.31

Step-by-step explanation:

Let's call the length of the parking area 'x', and the width 'y'.

Then, we can write the following equations:

-> Area of the park:

x * y = 5000

-> Price of the fences:

P = 2*x*5.5 + y*5.5 + y*7

P = 11*x + 12.5*y

From the first equation, we have that y = 5000/x

Using this value in the equation for P, we have:

P = 11*x + 12.5*5000/x = 11*x + 62500/x

To find the minimum of this function, we need to take its derivative and then make it equal to zero:

dP/dx = 11 - 62500/x^2 = 0

x^2 = 65000/11

x = 250/sqrt(11) = 75.3778 ft

This is the x value that gives the minimum cost.

Now, finding y and P, we have:

x*y = 5000

y = 5000/75.3778 = 66.3325

P = 11*x + 62500/x = $1658.31

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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Rewrite 4x plus 2y equals 6 in slope intercept form.
KonstantinChe [14]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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