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2 years ago

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Whitepunk [10]2 years ago

3 0

Answer:

???

Step-by-step explanation:

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Find the real roots of the equation x^4-5x^2-36=0

Usimov [2.4K]

Treat x^4 as the square of p: x^4 = p^2.

Then x^4 - 5x^2 - 36 = 0 becomes p^2 - 5p - 36 = 0.

This factors nicely, to (p-9)(p+4) = 0. Then p = 9 and p = -4.

Equating 9 and x^2, we find that x=3 or x=-3.
Equating -4 and x^2, we see that there's no real solution.

Show that both x=3 and x=-3 are real roots of x^4 - 5x^2 - 36 = 0.

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3 years ago

Can someone explain this to me.

almond37 [142]

Answer:

option D

$3*(\sqrt{x}+\sqrt{x-3})$

Step-by-step explanation:

Given in the question an expression,

$\frac{9}{\sqrt{x} -\sqrt{x-3}}$

Step 1

Divide and multiple by $\sqrt{x}+\sqrt{x-3}$ to remove radical sign from denominator.

$\frac{9}{\sqrt{x} -\sqrt{x-3}}*\frac{\sqrt{x} +\sqrt{x-3}}{\sqrt{x} +\sqrt{x-3}}$

Step 2

Apply a² - b² = (a+b)(a-b)

$\frac{9*\sqrt{x}+\sqrt{x-3}}{\sqrt{x^{2}}-\sqrt{(x-3)^{2}}}}$

Step 3

$\frac{9*\sqrt{x}+\sqrt{x-3}}{x-x+3}$

Step 4

$\frac{9*\sqrt{x}+\sqrt{x-3}}{3}$

Step 5

$3*(\sqrt{x}+\sqrt{x-3})$

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2 years ago

Point M (-3, 6) and point 'N (1,-1) are located on a coordinate

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The distance between point M and point is is about 8.06 units (rounded to nearest hundredth)

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2 years ago

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3 years ago

Read 2 more answers

What is the slope / rate of change for 2, 5 and -3, 7

Nady [450]

Answer:

$\displaystyle m=\frac{-2}{5}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS<u> </u>

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 5)

Point (-3, 7)

<u>Step 2: Identify</u>

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

<u>Step 3: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

Substitute in points [Slope Formula]: $\displaystyle m=\frac{7-5}{-3-2}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{2}{-5}$
[Slope] [Fraction] Rewrite: $\displaystyle m=\frac{-2}{5}$

4 0

2 years ago