Kātaitai tātai tapawhā
Whakarautaki i tētahi whārite tapawhā ax2 + bx + c = 0, tae atu ki ngā pūtake matatini.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
the equation is linear, the discriminant is 25 − 24 = 0 (the defaults, a = 1, b = −5, c = 2). If a is 0 the equation is linear, and the factored form is not applied. This calculator solves a quadratic equation ax² + bx + c = 0 using the quadratic formula x = (−b ± √(b² − 4ac)) / 2a. Enter the coefficients a, b and c and it returns both roots, the discriminant, the nature of the roots, the parabola's vertex and axis of symmetry, and the factored form, along with a plot of the curve. If the equation is linear, the discriminant is 25 − 24 = 0 (the defaults, a = 1, b = −5, c = 2). If a is 0 the equation is linear, and the formula does not apply. If a is 0 the equation is linear, and the formula does not apply. This calculator solves a quadratic equation ax² + bx + c = 0 using the quadratic formula x = (−b ± √(b² − 4ac)) / 2a. The discriminant b² − 4ac is the maximum or minimum point of the parabola, and the roots are where it crosses the x-axis.The discriminant b² − 4ac is the maximum or minimum point of the parabola.The discriminant b² − 4ac is the maximum or minimum point of the parabola.The discriminant b² − 4ac is the maximum or minimum point of the parabola.The discriminant b² − 4ac is the maximum point of the parabola.The discriminant b² − 4ac is the maximum point of the parabola.The discriminant b² − 4ac is the maximum point of the parabola.The discriminant b² − 4ac is the minimum point of the parabola.The discriminant b² − 4ac is the maximum point of the parabola.The discriminant b² − 4ac is the maximum point of the parabola
Ko nga pātai e pā ana
He aha te kōrero a te kaikōrero ki a au?
Ko te whakawātea b² − 4ac e whakatau ana i ngā pūtake: ko te tikanga tōrunga e rua ngā rongoā tūturu, ko te kore te tikanga o tētahi rongoā tāruatanga, ā, ko te tikanga tōraro e rua ngā rongoā matatini.
He aha mēnā he kore te kore?
Kātahi ka paerangi te whārite, kāore i te tapawhā, ā, kāore e pā ana te tātai tapawhā. Hei tāuru i tētahi uara kore kore mō te a.
He aha te pito o te parapara?
Ko te pito hurihanga (h, k) i reira e tae ana te ānau ki tōna tino nui, iti rānei. E whakaatu ana tēnei utauta i te tuaka o te taurite, te raina x = h.
He aha te whakaaturanga o te āhua o te taketake?
Ki te tūturu ngā pūtake, ka tuhi anō te whārite hei a (x − r₁)(x − r₂). Mō x² − 5x + 6 = 0, ko (x − 3)(x − 2).
He aha nga pūtake matatini?
Ki te tōraro te whakawāteatanga, he takirua ngā pūtake e pā ana ki te waeine i te waeine i, ā, ka tuhituhi te utauta i taua āhua.
Ka whakaoti x2 − 5x + 6 = 0.
Ko te whakawātea ko te 1, e hoatu ana i ngā pūtake tūturu e rua, x = 3 me x = 2 — te tauira tōtika e whakaaturia ana e tēnei tātaitai.
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Ka pānui te papatono API katoa →
Whakamutunga
GET https://calculator.free/api/v1/quadratic-formula/curl
curl "https://calculator.free/api/v1/quadratic-formula/?a=1&b=-5&c=6"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/quadratic-formula/?" + new URLSearchParams({
"a": "1",
"b": "-5",
"c": "6"
}));
const data = await r.json();
console.log(data.results);Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.