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Anni [7]
3 years ago
9

Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.

Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

The roots of an equation are simply the x-intercepts of the equation.

See below for the proof that \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0} has at least two real roots

The equation is given as: \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}

There are several ways to show that an equation has real roots, one of these ways is by using graphs.

See attachment for the graph of \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}

Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)

From the attached graph, we can see that \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0} crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500

This means that \mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0} has at least two real roots

Read more about roots of an equation at:

brainly.com/question/12912962

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Answer:

<em>x = 3.</em>

Step-by-step explanation:

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3. <em><u>3 x 3 = 9.</u></em>

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3 years ago
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Zolol [24]

Answer:

The area of the field = 19966.21 units²

Step-by-step explanation:

* Lets explain how to find area of a triangle by trigonometry rule

- In any triangle if you have the lengths of two sides and the measure

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∵ The field is shaped triangle

∵ The lengths of two sides of the field are 218.5 and 213.3

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∴ s2 = 213.3

∵ The measure of the angle between the two sides is 58.96°

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3 years ago
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Answer:

C = $2.40

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Step-by-step explanation:

For Noelle,

Equation that represents the monthly cost 'C',

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Since, Cost of writing checks ∝ Number of checks written

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Equation will be,

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For any month C = C'

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For n = 6,

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C = $2.40

Cost of writing checks = $2.40

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