Ingiza equation au tatizo

Ingizo la kamera haitambuliki!

Ufumbuzi - PolynomialRootFinder

x = - 1.366 - 0.366 i

x=-1.366-0.366i

x = - 1.366 + 0.366 i

x=-1.366+0.366i

x = 0.366 - 1.366 i

x=0.366-1.366i

x = 0.366 + 1.366 i

x=0.366+1.366i

x = 1.000 - 1.000 i

x=1.000-1.000i

x = 1.000 + 1.000 i

x=1.000+1.000i

Tazama hatua Jaribu hili:

Maelezo kwa hatua

1. Sanifisha kuwa P(x)=0

$x^{6} + 4 x^{3} + 8 = 0$

$a_{n} = 1$

$a_{0} = 8$

Andika upya mlinganyo kama polinomu sawa na sifuri.

2. Jaribu mizizi ya wagombea

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

$f a c t o r s (| a_{0} |) = 1, 2, 4, 8$

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

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

$P (- 1) = 5$

$P (1) = 13$

$P (- 2) = 40$

$P (2) = 104$

$P (- 4) = 3848$

$P (4) = 4360$

$P (- 8) = 260104$

$P (8) = 264200$

3. Tatua kipengele kilichobaki

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

$x = 1 + i, - 1.366025 + 0.366025 i, 0.366025 + 1.366025 i, 1 - i, - 1.366025 - 0.366025 i, 0.366025 - 1.366025 i$

4. Kusanya mizizi yote

Mizizi yote pamoja na wingi wake: x={-1.366025-0.366025i,-1.366025+0.366025i,0.366025-1.366025i,0.366025+1.366025i,1-i,1+i}.

Je, maelezo haya yalikuwa na manufaa?

Ndio Hapana

Tulifanyaje?

Tafadhali tuache maoni yako.

Vigezo na mada

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