Ingiza equation au tatizo

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Ufumbuzi - PolynomialRootFinder

x = - 1.414214

x=-1.414214

x = 1.414214

x=1.414214

x = 0.000 - 1.291 i

x=0.000-1.291i

x = 0.000 + 1.291 i

x=0.000+1.291i

Tazama hatua Jaribu hili:

Maelezo kwa hatua

1. Sanifisha kuwa P(x)=0

$3 x^{4} - x^{2} - 10 = 0$

$a_{n} = 3$

$a_{0} = - 10$

Andika upya mlinganyo kama polinomu sawa na sifuri.

2. Jaribu mizizi ya wagombea

Mizizi ya kimantiki inayowezekana: -1/3, 1/3, -2/3, 2/3, -1, 1, -5/3, 5/3, -2, 2, -10/3, 10/3, -5, 5, -10, 10. Jaribu kila mgombea na punguza kwa vipengele vilivyopatikana.

$f a c t o r s (| a_{0} |) = 1, 2, 5, 10$

$f a c t o r s (| a_{n} |) = 1, 3$

$x = + / - p / q = - 1 / 3, 1 / 3, - 2 / 3, 2 / 3, - 1, 1, - 5 / 3, 5 / 3, - 2, 2, - 10 / 3, 10 / 3, - 5, 5, - 10, 10$

$P (- 1 / 3) = - 10.074074$

$P (1 / 3) = - 10.074074$

$P (- 2 / 3) = - 9.851852$

$P (2 / 3) = - 9.851852$

$P (- 1) = - 8$

$P (1) = - 8$

$P (- 5 / 3) = 10.37037$

$P (5 / 3) = 10.37037$

$P (- 2) = 34$

$P (2) = 34$

3. Tatua kipengele kilichobaki

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

$x = 1.414214, - 1.290994 i, 1.290994 i, - 1.414214$

4. Kusanya mizizi yote

Mizizi yote pamoja na wingi wake: x={-1.414214,1.414214,-1.290994i,1.290994i}.

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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