Réiteach Cothromóidí

Réiteach líneach, cearnach agus córais cothromóidí céim ar chéim, ar líne saor in aisce.

Réiteach
Mionsonraí

Torthaí a nuashonrú mar a chlóscríobh tú.

Maidir leis an áireamhán seo

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Ceisteanna Coitianta

Cén cineál cothromóidí is féidir leis a réiteach?

Cothromóidí líneacha (ax + b = 0), cearnóga (ax² + bx + c = 0, fréamhacha casta san áireamh), agus córais 2×2 de chothromóidí líneacha.

An léiríonn sé fréamhacha casta?

Nuair a bhíonn idirdhealaitheoir diúltach ag cearnach, tuairiscíonn an réiteachóir an dá fhréamh chomhcheangailte casta seachas a rá nach bhfuil aon réiteach ann.

Conas a réitíonn mé cearnach cosúil le x² − 5x + 6 = 0?

Roghnaigh an cineál cearnach agus cuir isteach a = 1, b = - 5, c = 6. Cuireann an réiteach an fhoirmle chearnach i bhfeidhm agus tugann sé x = 2 agus x = 3 ar ais, an dá luach a dhéanann an slonn nialas.

Cad é an idirdhealaitheoir agus cén fáth a bhfuil sé ábhartha?

Is é an idirdhealaitheoir b² − 4ac. Má tá sé dearfach, tá dhá fhréamh fíor ann, má tá sé nialas tá fréamh amháin arís ann, agus má tá sé diúltach is péire comhghaolmhar casta iad na fréamhacha. Úsáideann an réiteachóir é chun cinneadh a dhéanamh cén cás a bhaineann leis.

Conas a réitíonn mé córas dhá chothromóid?

Roghnaigh an cineál córais 2×2 agus cuir isteach comhéifeachtaí an dá chothromóid. Faigheann an réiteachóir an pointe aonair (x, y) ina dtagann an dá líne le chéile, nó insíonn sé duit nuair atá siad comhthreomhar agus nach dtrasnaíonn siad riamh.

Cén chaoi a bhfuil sé seo difriúil ón áireamhán grafaíochta?

Tarraingíonn an t-áireamhán grafaíochta na cuair in ionad na luachanna réitigh cruinn ailgeabra, ionas gur féidir leat na fréamhacha a fheiceáil mar thrasnú x-ais nó mar thrasnú dhá ghraf.

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