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IrinaVladis [17]
3 years ago
5

URGENT ! what is the common difference of the arithmetic series 14+12+10+8

Mathematics
1 answer:
k0ka [10]3 years ago
6 0

Explanation:

An arithmetic sequence has a common difference, meaning you use addition or subtraction to get from term to term, and each term in the sequence is an equal distance apart.

A geometric sequence has a common ratio, meaning that you use multiplication or division to get from term to term.

If you look at this sequence:

14-2 = 12

12-2 = 10

10-2 = 8

8 -2 = 4

etc.

Because you are subtracting 2 each time, 2 is the common difference, and the sequence is arithmetic.

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What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Radda [10]

Answer:

second option

Step-by-step explanation:

Given

x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

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

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

x² = - 5 ( take the square root of both sides )

x = ± \sqrt{-5} = ± \sqrt{5(-1)} = ± \sqrt{5} × \sqrt{-1} = ± i\sqrt{5}

Solutions are x = ± i and x = ± i\sqrt{5}

3 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

Yeah this is the answer

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aleksandrvk [35]

In order it  goes like this

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so the question is the answer

3 0
3 years ago
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