Ingiza equation au tatizo

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Ufumbuzi - PolynomialRootFinder

x = - 0.130478

x=-0.130478

x = - 0.778 - 0.115 i

x=-0.778-0.115i

x = - 0.778 + 0.115 i

x=-0.778+0.115i

x = 0.844 - 0.250 i

x=0.844-0.250i

x = 0.844 + 0.250 i

x=0.844+0.250i

Tazama hatua Jaribu hili:

Maelezo kwa hatua

1. Sanifisha kuwa P(x)=0

$16 x^{5} - 20 x^{3} + 8 x + 1 = 0$

$a_{n} = 16$

$a_{0} = 1$

Andika upya mlinganyo kama polinomu sawa na sifuri.

2. Jaribu mizizi ya wagombea

Mizizi ya kimantiki inayowezekana: -1/16, 1/16, -1/8, 1/8, -1/4, 1/4, -1/2, 1/2, -1, 1. Jaribu kila mgombea na punguza kwa vipengele vilivyopatikana.

$f a c t o r s (| a_{0} |) = 1$

$f a c t o r s (| a_{n} |) = 1, 2, 4, 8, 16$

$x = + / - p / q = - 1 / 16, 1 / 16, - 1 / 8, 1 / 8, - 1 / 4, 1 / 4, - 1 / 2, 1 / 2, - 1, 1$

$P (- 1 / 16) = 0.504868$

$P (1 / 16) = 1.495132$

$P (- 1 / 8) = 0.038574$

$P (1 / 8) = 1.961426$

$P (- 1 / 4) = - 0.703125$

$P (1 / 4) = 2.703125$

$P (- 1 / 2) = - 1$

$P (1 / 2) = 3$

$P (- 1) = - 3$

$P (1) = 5$

3. Tatua kipengele kilichobaki

Tatua polinomu iliyobaki kwa kutumia ukadiriaji wa namba (Durand-Kerner).

$x = 0.843501 - 0.250127 i, 0.843501 + 0.250127 i, - 0.778263 + 0.114612 i, - 0.778263 - 0.114612 i, - 0.130478$

4. Kusanya mizizi yote

Mizizi yote pamoja na wingi wake: x={-0.130478,-0.778263-0.114612i,-0.778263+0.114612i,0.843501-0.250127i,0.843501+0.250127i}.

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Kokotoa mizizi ya polynomial

Ufumbuzi - PolynomialRootFinder

Maelezo kwa hatua

1. Sanifisha kuwa P(x)=0

2. Jaribu mizizi ya wagombea

3. Tatua kipengele kilichobaki

4. Kusanya mizizi yote

Kwa nini kujifunza hii

Vigezo na mada

Viungo vinavyohusiana

Ufumbuzi - PolynomialRootFinder

Maelezo kwa hatua

1. Sanifisha kuwa P(x)=0

2. Jaribu mizizi ya wagombea

3. Tatua kipengele kilichobaki

4. Kusanya mizizi yote

Kwa nini kujifunza hii

Vigezo na mada

Viungo vinavyohusiana

Maswali ya hivi karibuni yaliyohusiana yalisuluhishwa