Quadratic Formula Calculator

Kuchotsa iliyonse quadratic kugwirizana ax² + bx + c = 0, kuphatikizapo complex roots.

Mtundu wachiwiri wa mbewu (x₁)
Second root (x₂)
Kusiyana (b² − 4ac)
Mtundu wa mbewu
Vertex
Mtundu wa mfundo
Kusintha

Zithunzizi zimasintha monga momwe mumalemba.

Zachidule

the equation is linear, the discriminant is 25 − 24 = 0 (the defaults, a = 1, b = −5, c = 6). If a is 0 the equation is linear, not quadratic, and the factored form 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 linear, the equation is linear, and the formula does not apply. If a is 0 the equation is linear, not quadratic, and the formula does not apply. If a is 0 the discriminant is 25 − 24 = 0 (the defaults, a = 1, b = −5, c = 6). If a is 0 the equation is linear, the discriminant is 25 − 24 = 0 (the defaults, a = 1, b = −5, c = 6). If a is 0 the equation is linear, not quadratic, and the formula does not apply.Quadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQuadratics calculatorQu

Mafunso ofunsidwa nthawi zambiri

Kodi kodi discriminant amatiuza ine?

M'mawu ena, mfundo ya 2 ndi 4 ndi mfundo ya 2 ndi 4, ndipo mfundo ya 2 ndi 4 ndi mfundo ya 2 ndi 4.

Kodi ngati a ndi zero?

Ndiyeno kuyerekezera ndi linear, si quadratic, ndi quadratic formula sakugwirizana. Kulowa non-zero tanthauzo kwa a.

Kodi ndi chiyani vertex ya parabola?

Ndipo malo osintha (h, k) komwe mzere umafika pa mlingo wokwanira kapena wotsika. Izi zida zimaziwonetsa limodzi ndi axis ya simetri, liwiro la x = h.

Kodi factored form amasonyeza chiyani?

Ngati ma roots ndi amodzi, mfundo yofananayo imalembanso kuti a(x − r₁)(x − r₂). Pamene x² − 5x + 6 = 0, izi ndi (x − 3)(x − 2).

Kodi ndi chiyani mbewu zosiyanasiyana?

Ngati mfundo ya 100% ndi yofanana ndi mfundo ya 100% ya mfundo ya 100%, ndiye kuti mfundo ya 100% ndi yofanana ndi mfundo ya 100% ya mfundo ya 100% ya mfundo ya 100% ya mfundo ya 100% ya mfundo ya 100% ya mfundo ya 100%.

Mtundu wa 2: 5x + 6x = 100.

The discriminant ndi 1, kupatsa awiri mbewu zachikhalidwe, x = 3 ndi x = 2 — default chitsanzo anasonyeza ndi ichi calculator.

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API — kugwiritsa ntchito izi calculator kuchokera code

Kulemba izi calculator monga ufulu JSON endpoint - palibe chida zofunika. Kutumiza nyanja mfundo pansipa monga mafunso zigawo kapena JSON. Onani zonse API docs →

Chithunzi

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);

Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.