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slamgirl [31]
3 years ago
7

All zeros of polynomial function 3x^4 +14x^2 -5

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

Correct answer:  x₁ = 1 / √3 = √3 / 3  or  x₂ = - 1 / √3 = - √3 / 3

Step-by-step explanation:

Given:

3 x⁴ + 14 x² - 5 = 0   biquadratic equation

this equation is solved by a shift  x² = t and get:

3 t² + 14 t - 5 = 0

t₁₂ = (-14 ± √14² - 4 · 3 · 5) / 2 · 3 = (-14 ± √196 + 60) / 6

t₁₂ = (-14 ± √256) / 6 = (-14 ± 16) / 6

t₁ = -5   or  t₂ = 1 / 3

the solution t₁ = -5 is not accepted because it cannot be x² = -5

we accepted  t₂ = 1 / 3

x² =  1 / 3  ⇒  

x₁ = 1 / √3 = √3 / 3  or  x₂ = - 1 / √3 = - √3 / 3

God is with you!!!

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The mean of eight numbers is 40 and the mean of other twelve different numbers is 30. What is the mean of all the twenty numbers
lana [24]

Answer:  34

================================================

Work Shown:

S = sum of the first 8 numbers

S/8 = 40 is the mean of those first 8 numbers

S = 8*40

S = 320 so the first 8 numbers add to this value

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R = sum of the 12 remaining values

R/12 = 30

R = 12*30

R = 360 is what the other 12 values add to

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R+S = 360+320 = 680  is what all twenty values add to. Divide this by 20 to get the overall average

(R+S)/20 = 680/20 = 34

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3 years ago
Tasha believes that she can rewrite the difference 120 - 36 as a product of the GCF of the two numbers and another difference. I
vfiekz [6]
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3 years ago
If arc mAD = 103°, and arc mBC = 115°, what is m∠BEC?
frosja888 [35]

Applying the angles of intersecting chords theorem, m∠BEC = 109°.

<h3>What is the Angles of Intersecting Chords Theorem?</h3>

According to the angles of intersecting chords theorem, the measure of angle BEC equals half the sum of the measures of arcs AD and BC.

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Therefore, we would have:

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Learn more about the angles of intersecting chords theorem on:

brainly.com/question/23732231

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