Ole oe i poina ana i ka hoʻoponopono i ka quadratic helu kaulike mea kāpili?

Pehea e hoʻoponopono i ke kāpili quadratic helu kaulike? Ua ua ike ia ia mea he mauʻano o ka like koi, ² + Bx + C = O, ma ka, e, a pela aku - na coefficients maoli o ka mea ike ole ia m, a kahi i ≠ e, a me e, a pela aku, he 'Aʻohe - ka poʻe a kaawale. No ka laʻana, C = O, i loko o ka ≠ a Hope versa. Mākou makemake e kokoke e hoole i ka wehewehena o ka quadratic helu kaulike.

möakäka hou

Trinomial lua o ka papahelu mea like me ke 'Aʻohe. Kona mua kaʻi lau waiwai he ≠ e, e, a pela aku hiki ke lawe i kekahi waiwai. Ka waiwai o ee iaaanu aey m, e laila, e ke kumu o ka helu kaulike, ma ka wā hookomoia e huli mai ia i loko o ka pololei laulā like. E mākou noonoo i ka aa maoli, eia nae o ka olelo hooholo o na nā helu kaulike hiki e luna 'helu. Piha kapaʻia ka helu kaulike i loko i kekahi o na coefficients i like i ka e, he ≠ e, he ≠ e, pela aku ≠ e.
Mākou ke hoʻoponopono i ka hana. 2 ² 5 = -9h-ma, ua loaʻa
D = 81 + 40 = 121,
D He 'oluʻolu, na aa i laila m ₁ = (9 + √121): 4 = 5, a me ka lua o ka m ₂ = (9-√121): -o = 4, 5. Ka hōʻoia 'kōkua hōʻoia' ia ka mea, i pololei.

Eia ka ke koe ma ka anu u pāʻoihana i ka quadratic helu kaulike

Ma discriminant hiki ke hoʻoponopono i kekahi helu kaulike, ma kaʻaoʻao hema o ka luawai-ike huinahalike trinomial ka wā i ≠ e pili ana. Ma ka laʻana. -9h-2 ² 5 0 = (s ² + Bx + C = O)

• E huli i mua discriminant D ma ka ike haʻilula ² -4as.
• E kikoo i mea no ka waiwai o D: mākou i oi aku mamua o 'Aʻohe mea like me' Aʻohe a emi.
• Ua ike makou i ka ina D> e, he quadratic helu kaulike i elua wale okoa maoli aʻa, ka mea nō kāu ho i m ₁ a me m _2,
  ʻaneʻi ke pehea e hoʻomaulia:
  m ₁ = (-c + √D) :( 2a) a me ka lua: m ₂ = (-to-√D) :( 2a).
• D = ka - kekahi aa, a, e olelo oukou, elua like:
  m ₁ mea like i ₂ a me ka mea like -to: (2a).
• Eia hoi, D

E hoomanao i ka mea kāpili nā helu kaulike o ka lua o ka degere

1. koʻi lipi ² + Bx = e. Ka ikaika kau, kaʻi lau waiwai l ka wā m ⁰ ua like ia 'Aʻohe, he ≠ e.
   Pehea e hoʻoponopono i ke kāpili quadratic helu kaulike o kēiaʻano? E mai m na brackets. E hoomanao, i ka wa o ka huina hoonui o nā kumumea mea Aʻohe.
   (+ B. Koʻi) = o, ka mea, i ia m ka wā: X ka O paha ka wā koʻi + b. = E.
   Ka hoʻoholo '2nd laina helu kaulike, mākou i m = -c / he.
   E like me ka hopena, ua i aa m ₁ = 0, computationally m ₂ = -b / _he.
2. Ano, i ke kaʻi lau waiwai o ka m mea e pili ana, akā, me ka i like (≠) e.
   ² m + e = e. E neʻe i kaʻaoʻao'ākau o ka helu kaulike, ua loaa m ² = c. Kēia helu kaulike wale loaʻa maoli aʻa, ka wā he maikaʻi helu l (c m mea like i ₁ ina √ (c), niioaaonoaaiii, m ₂ - -√ (c). I ole ia, i ka helu kaulikeʻaʻohe aʻa i nā mea a pau.
3. Ka hope koho: b = c. = O, oa ² mau = e. Maoli ai, e like me ka mea uuku helu kaulike i kekahi aa, m = ia.

Special hihia

Pehea e hoʻoponopono i kekahi quadratic helu kaulike, noonoo iho kāpili, a e vozmem kekahi ano.

• I ka piha quadratic helu kaulike lua o kaʻi lau waiwai m - i ka helu.
  E ke k = e, 5b. Mākou i ka haʻilula no ka helu ana i ka discriminant a me ka aa.
  D / 4 ² = K - AC, aa Me like m _{1,2 = (-k ± √ (D} / 4)) / he wā D> e.
  He m = -k / he ma D = e.
  No aa ia D
• I haawi mai quadratic nā helu kaulike ka wā i ke kaʻi lau waiwai o ka m hana huinahā mea 1, ka mea i IeAUPIIe, IAa IO palapala m ² + k + Q = e. Ka mea, e malama ai i nā mea a pau o ka luna haʻilula, i ka i ka ho omaulia i kekahi simpler.
  Laʻana ² m 9--4h = 0. Compute D: 2 ² +9, D = 13.
  = M ₁ 2 + √13, m ₂ = 2-√13.
• Eia hou kekahi, haawi eaaei pili i ka theorem o Vieta. Ua hākālia nō i ka huina o na aa o ka helu kaulike mea like e mutt, i ka lua o kaʻi lau waiwai a me ka hua (la me ka manao i ke ku pono ana i hōʻailona), a me ka huina hoonui o na aa mea like, e Q, ka ikaika makahiki. Hōʻoia ana i oluolu makemake i vocally ia kuhikuhi i na aa o keia helu kaulike. No ka unreduced (no ka mea a pau coefficients i like i ka 'Aʻohe), ua pili keia theorem like penei: ka huina m ₁ + m ₂ Ua like -to / he, huahana m ₁ · m ₂ Ua like ia me ka / he.

Huina o ka loa a me ka makahiki i mua kaʻi lau waiwai, a me ka ewaewa ole i ka mea kaʻi lau waiwai b. Ma keia kulana, i ka helu kaulike i ma ka liʻiliʻi loa hoʻokahi kumu (hoopuni ho'āʻo), ka mua koi 'ia ka -1, a me ka lua o ka pela aku / he, ina mea i koe. Pehea e hoʻoponopono i kekahi quadratic helu kaulike mea kāpili, e hiki ke kaha oe ia oe iho. Simple. Nā coefficients ke e ma kekahi huliāmahi i kekahi i kekahi

• m ² + m = e, 7x ² -7 = e.
• I ka huina o nā coefficients mea e pili ana.
  Ke aa o keia helu kaulike - 1 a me ka pela aku / he. Laʻana 2 ² -15h + 13 = e.
  ₁ = m 1, m ₂ = 13/2.

Aia nō kekahi mau 'ē aʻe aoao, e hoʻoponopono i kekahi mau nā helu kaulike o ka lua o ka degere. No ka laʻana, i ke ano o ka auaaeaiea o keia polynomial hemolele huinahalike. Kekahi mau mea kiʻi aoao. I ka pinepine ana me na hoailona, aʻo pehea e "huli" ia e like me na anoano, no ka mea, a pau mau aoao e hele mai i ka manao koho.