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Dafna1 [17]
2 years ago
15

What are the zeros of the function f(x) = x4 − x2 − 2?

Mathematics
1 answer:
goblinko [34]2 years ago
8 0

Answer:

x = ± \sqrt{2} , x = ± i

Step-by-step explanation:

f(x) = x^{4} - x² - 2

to find the zeros , equate f(x) to zero , that is

x^{4} - x² - 2 = 0

using the substitution u = x² , then

u² - u - 2 = 0 ← in standard form

(u - 2)(u + 1) = 0 ← in factored form

equate each factor to zero and solve for u

u - 2 = 0 ⇒ u = 2

u + 1 = 0 ⇒ u = - 1

convert u back into terms of x

x² = 2 ( take square root of both sides )

x = ± \sqrt{2}

x² = - 1 ( take square root of both sides )

x = ± \sqrt{-1} = ± i

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NemiM [27]

Answer:

x = 55

Step-by-step explanation:

Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.

Draw another line parallel to the top and bottom lines through the pointy end of 45.

The bottom angle of the line through 45 is 15 degrees (alternate interior angles.

The top angle is 45 - 15 = 30

The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180

One final observation The top angle of made by the line going through x is 180 - 25 = 155

What you have now is

155 + 150 + x = 360

305 + x = 360

x = 360 - 305

x = 55

6 0
3 years ago
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Tresset [83]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - 6 = 1/5 x + 0

y = 1/5x + 6

Best Regards!

8 0
3 years ago
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What is the square root of 16x^36
Blababa [14]

<span><span><span><span><span><span><span><span><span><span><span><span><span>this is the answer(</span></span><span><span><span><span>4</span></span><span><span /></span><span><span><span><span>x</span></span></span><span><span><span>2</span></span></span></span></span></span><span><span>)</span></span></span></span><span><span><span>2 </span></span></span></span></span></span></span></span></span></span></span></span><span>4⁢x22</span>
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3 years ago
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aalyn [17]

Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

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2 years ago
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dlinn [17]
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33 -7r + 7r = 18 - 12r + 7r
33 = 18 - 5r
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r = 3
8 0
3 years ago
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