Mākou ke hoʻoponopono quadratic nā helu kaulike a me ka kaiapili

Quadratic nā helu kaulike i nā helu kaulike o ka lua o ka 'ilikai me ka ee iaaanu aey. Ka mea, Hōʻike 'ia ka hana o ka parabola ma luna o ka mea i kahi kūlike o pelatano. Ka makemake aʻa, he hōʻailona o ka mea nui ma i ka pakuhi nā keʻa o ka axis x. Mai na coefficients hiki e mālama '-aʻo i kekahi mau ano o ka parabola. No ka laʻana, ina o ka waiwai o ke ku ana ma ke alo o ka m ² mea io, ke parabola lala, e nana mai. Eia hou, ma laila nō i ka helu o nā paena, Via i ia mea hiki ke Nohie i ka pāʻoihana o ka haawi mai ai helu kaulike.

Kind o quadratic nā helu kaulike

Ke kula ao mai la kekahi mauʻano o quadratic nā helu kaulike. Ke kaumaha ma muli o kēia e pono ai a me ka pāʻoihana. quadratic nā helu kaulike hiki maopopo iwaena o kekahi 'ano o ka aiao. Kēiaʻano he i ka helu o nā aiaiiuo:

koʻi lipi ² + 12x 3 = 0

Kekahi mea oko a hiki e oleloia helu kaulike i loko i ka ee iaaanu aey ua poe e he hookahi helu a me ka heluʻana:

21 (m + 13) ² -17 (m + 13) -12 = 0

It O ke kumukuai o 'ana i kumumanaʻo mea a pau keia mea he mau nānaina o quadratic nā helu kaulike. I kekahi manawa ka mea, e hōʻike mai iā ia i loko o ka waihona i ka i ka mea pono mua e hoʻokomo i loko o mea, e ololi ai Nohie.

4 (m + 26) ² - (- 43h + 27) (7-m) = 4

I ka rula o ka pāʻoihana

Quadratic nā helu kaulike i nā mākau 'ia ma ke kēia ala.

1. Inā pono, he mea ka wahi o ka pono nā loina.
2. Ua haawiia mai ke helu kaulike i loko o ka palapala kūpono.
3. Aia ma luna o ka discriminant e like me ka haʻilula: D = e ² -4as.
4. I kulike ai me ka waiwai o ka discriminant hopena a e pili ana i ke kuleana pili i. Inā D> 0, laila, ke olelo aku nei au i ka helu kaulike i mauʻokoʻa aa (ma D).
5. Ma hope iho o ia, huli i nā kumu o ka helu kaulike.
6. Next (ke kaumaha ma muli o ka paha) iʻimi hala ole waiwai ma ka kekahi wahi.

Quadratic nā helu kaulike: Theorem Wyeth a me nā tweaks

Kela haumāna makemake e malamalama ai i loko o ka lumi papa me kā lākouʻike, nā mākau a me ka savvy. Iloko o ka like o quadratic nā helu kaulike mea hiki ke hana ia ma kekahi mau aoao.

Ma ka hihia ma ke kaʻi lau waiwai i = 1, ua hiki ke kamailio e pili ana i ka noi o ka Vieta theorem, e like me a ma ka huina o na aa, ua like no ke kumukuai o ka e, e ku ana ma ke alo o ka m (a me ka mea ku pono hōʻailona i ke kanawai), a me ka huina hoonui o ka m ₁ a me m ₂ Ua like ia. i kapaʻia aku ia nā helu kaulike.

-20h m ² + 91 = 0,

m _{1 *} m ₂ = 91 a m ₁ + m ₂ = 20 => He m = ₁ 13 a me ka? h ₂ = 7

ala oluolu i ka Nohie i ka makemakika hana i kekahi mea e hoʻohana i ka waiwai o ka mea kiko'î. No laila, ina o ka huina o nā mea kiko'î mea 0, ka mea, penei i m ₁ = 1 a me ka m ₂ = pela aku / he.

17x ² -7h-10 = 0

0 = 07/17/10 pela aa 1: m ₁ = 1, a me koren2: m ₂ = _-10 / 12

Inā i ka huina o na coefficients kekahi, a pela aku, ua like o A ia E, laila, m = ₁ a me -1, pakahi, m ₂ = l / he

25x ² + 49h + 24 = 0

25 + 24 = 49, nolaila, _x1 = -1 a _X2 = -24/25

Ua kokoke i ka hoʻoponopono i ka quadratic nā helu kaulike nui simplifies ka i ka ho omaulia kaʻina hana, a hoopakele i ka weliweli nui o ka manawa. A pau ka hana a hiki ke hana ia ma ka naau, me ka Noho maikai minute o ka hooponopono ana a me ka nana i ka hana ma luna o multiplication ma ke kolamu 'ole hoʻohana i ka me ka m'kini helu.

Quadratic nā helu kaulike malama me ka loulou ma waena o nā kiʻi, a me ka i kahi kūlike o pelane. E koke, a hiki wawe ka kūkulu i ka parabola like papa, ia mea e pono ma hope o ka loaa ole o kona luna huki i ka vertical laina p ÷ haku i ka axis x. Mahope, hiki ke loaa ia me ka mahalo kēlā me kēia wahi e aniani i ka haawiia mai laina, i kapaʻia ka iho (axis) o symmetry.