I-Calculator ye-Quadractric Formula

Lungiselela noma iyiphi i-equation ye-quadric ax² + bx + c = 0, kufaka phakathi izimpande ezinzima.

Isisekelo sokuqala (x₁)
I root yesithathu (x₂)
Ukuhlukaniswa (b² − 4ac)
Uhlobo lwesisu
I-Vertex
Isixhumanisi sesimo esifanayo
Ifomu elihlukanisiwe

Iziphetho zivuselelwa uma ubhala.

Malunga nale khadi

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, not quadratic, and the factored form does not apply. 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, not quadratic, and the factored form does not apply. 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, not quadratic, and the formula does not apply. 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, the factored form does not apply. If a is 0 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 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 factored form does not apply. If a is 0 the discriminant is 25 − 24 = 0 (the defaults, a = 1, b = −5, c = 2). If a is 0 the equation is linear, the factored form does not apply. If a is 0 the equation is linear, the factored form does not apply. If a is 0 the equ

Imibuzo ebuzwa kaningi

Yini okushoyo umlinganisi?

I-discriminant b² − 4ac ikhetha izimpande: okunengqondo kusho ukuthi amathuluzi amabili angempela, i-zero kusho ukuthi amathuluzi amabili aphindaphindwayo, futhi okubi kusho ukuthi amathuluzi amabili anzima.

Yini uma a iyisizero?

Uma lokhu kwenzeka, i-equation ihamba phambili, ayi-quadric, futhi i-formula ye-quadric ayisebenzi. Faka inani elingekho-zero le-a.

Yini i-vertix ye-parabola?

Yindawo yokushintsha (h, k) lapho i-curve ifinyelela khona okuphezulu noma okuphansi. Le thuluzi liyitshela ngaso kanye ne-axis ye-symmetri, i-line x = h.

Yini okubonisa ifomu elihlukanisiwe?

Uma izimpande ziyiqiniso, inqubekela phambili ibhalwe kabusha njenge (x − r₁)(x − r₂). X² − 5x + 6 = 0 lokho kusho (x − 3)(x − 2).

Yini ama roots anzima?

Uma i-discriminant iyisici esibi, ama roots azoba yi-conjugate pair a ± bi ehlanganisa iyunithi efana ne-i, futhi ithuluzi lizobhala ngazo ngale ndlela.

Thola x2 − 5x + 6 = 0.

I-discriminant yi-1, enikeza izimpande ezimbili ezingokoqobo, x = 3 ne x = 2 — isibonelo esijwayelekile esiboniswa yilesi sinqumo.

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Ingxenye yendawo

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);

Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.