Select the graph that would represent the best presentation of the solution set for |z|

Musya8 [376]

For this equation its the same as simplifying any other equation -Simplify both sides of the equation then isolate the variable- Easy then once you've do so the answer should be

x = $\frac{7}{26\\}$

7 0

3 years ago

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If X²⁰¹³ + 1/X²⁰¹³ = 2, then find the value of X²⁰²² + 1/X²⁰²² = ?

enyata [817]

Step-by-step explanation:

$\bf➤ \underline{Given-} \\$

$\sf{x^{2013} + \frac{1}{x^{2013}} = 2}\\$

$\bf➤ \underline{To\: find-} \\$

$\sf {the\: value \: of \: x^{2022} + \frac{1}{x^{2022}}= ?}\\$

$\bf ➤\underline{Solution-} \\$

Let us assume that:

$\rm: \longmapsto u = {x}^{2013}$

Therefore, the equation becomes:

$\rm: \longmapsto u + \dfrac{1}{u} = 2$

$\rm: \longmapsto \dfrac{ {u}^{2} + 1}{u} = 2$

$\rm: \longmapsto{u}^{2} + 1 = 2u$

$\rm: \longmapsto{u}^{2} - 2u + 1 =0$

$\rm: \longmapsto {(u - 1)}^{2} =0$

$\rm: \longmapsto u = 1$

Now substitute the value of u. We get:

$\rm: \longmapsto {x}^{2013} = 1$

$\rm: \longmapsto x = 1$

Therefore:

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 1 + 1$

$\rm: \longmapsto {x}^{2022} + \dfrac{1}{ {x}^{2022} } = 2$

★ Which is our required answer.

$\textsf{\large{\underline{More To Know}:}}$

(a + b)² = a² + 2ab + b²

(a - b)² = a² - 2ab + b²

a² - b² = (a + b)(a - b)

(a + b)³ = a³ + 3ab(a + b) + b³

(a - b)³ = a³ - 3ab(a - b) - b³

a³ + b³ = (a + b)(a² - ab + b²)

a³ - b³ = (a - b)(a² + ab + b²)

(x + a)(x + b) = x² + (a + b)x + ab

(x + a)(x - b) = x² + (a - b)x - ab

(x - a)(x + b) = x² - (a - b)x - ab

(x - a)(x - b) = x² - (a + b)x + ab

6 0

3 years ago

Select the correct answer. Rewrite the following expression.

kolezko [41]

The algebraic expression $x^{10/3}$ is equivalent to the algebraic expression $x^{3}\cdot \sqrt[3]{x}$ . Thus, the right choice is option D.

<h3>How to apply power and root properties to rewrite a given expression</h3>

In this question we must apply the following set of algebraic properties to simplify a given expression:

$x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}$ (1)

$x^{m+n} = x^{m}\cdot x^{n}$ (2)

$x^{m\cdot n} = \left(x^{m}\right)^{n} = \left(x^{n}\right)^{m}$ (3)

Where:

m, n - Exponents
x - Base

And also by apply the definition of power.

If we know that the given expression is $x^{10/3}$ , then the equivalent expression is:

$x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}$

The algebraic expression $x^{10/3}$ is equivalent to the algebraic expression $x^{3}\cdot \sqrt[3]{x}$ . Thus, the right choice is option D.

To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773

7 0

2 years ago

Prompt:Compare and contrast linear equations to non-linear equations Please help me ASAP

Ostrovityanka [42]

Answer:

linear functions will create a straight line when graphed but if you were to graph a non linear equation then it would not create a straight line

Step-by-step explanation:

4 0

3 years ago

Rite the fraction in order from greatest to least 2/8 5/8 1/8

Elanso [62]

I'm guessing it is 5/8 than 2/8 and last 1/8 it HAS to be what i just said

4 0

3 years ago

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Select the graph that would represent the best presentation of the solution set for |z| > (1/2).