Kwardal Formul Kalkülatory

Komplik kökleri bilen her hili dörtlü ekwivalentleri çöz

Birinci kök
Ikinji kök
Diskriminant (b² − 4ac)
Köçe
Vertex
Symmetri
Faýllar

Netijeler ýazýan wagtyň täzelener.

Bu hasapçy hakda

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. 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, not quadratic, 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. 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 a is 0 the equation is linear, not quadratic, and the formula does not apply. This calculator is free of charge.QuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQua

Köp soralýan soraglar

Näme diýýär?

B² − 4ac diskriminant kökleri kesgitleýär: pozitiw iki amaly çözgüt, sıfır bir gaýtalan çözgüt we negatiw iki kompleks çözgüt aňladýar.

Eger a sıfryň içinde bolsa näme?

Eger deňleşik dörtlü däl, dörtlü formulany ulanmaýan bolsa onda deňleşik dörtlüdir. a üçin bir sıfryň bolmadyk umumyny giriz.

Parabolanyň çepesi näme?

Bu egriň iň köp ýa-da iň az ýeten (h, k) dönme noktasy. Bu esbap ony symmetriýa egri bilen, x = h hat bilen habar berýär.

Faýllar

Eger kökler küýze bolsa, deňleşik a(x − r₁)(x − r₂) ýaly tekrar ýazylýar. x² − 5x + 6 = 0 üçin bu (x − 3)(x − 2)

Kompýuter

Diskriminant menfiy bolsa kökler hayal birligi i bilen bir a ± bi konjugat çiftdir we esbap olary şu şekilde ýazýar.

x2 - 5x + 6 = 0 çöz

Diskriminant 1, iki akyly köki berýän, x = 3 we x = 2 - bu kalkulýator tarapyndan görkezlen öň bellenen mysal.

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API — bu hasapçyny koddan ullan

Bu hasapçyny azat JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Eňlisçe senedleri oka →

_Soňky

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);

Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, lukmançylyk ýa-da salgyt maslahaty üçin däl.