Quadratic Formula Calculator

Solve chero quadratic equation ax² + bx + c = 0, kusanganisira complex roots.

First root (x₁)
Second root (x₂)
Discriminant (b² − 4ac)
Chimiro cheroots
Vertex
Makona esimbi
Kuumbwa kweFactored

Zvinyorwa zvinogadziridzwa paunenge uchinyora.

Nezve iyi kalkulator

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. 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. The discriminant b² − 4ac is the maximum or minimum point of the parabola, while the roots are where it crosses the x-axis.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving complex equations.Quadratics calculator is a powerful tool for solving

Zvimwe zvinobvunzwa zvakanyanya

Chii chinonzi discriminant?

Kusiyana b² - 4ac kunopa rusununguko rwekufunga nezvemarudzi ezvinyorwa: Positive zvinoreva kuti pane ma solutions maviri, zero zvinoreva kuti pane imwe soluton, uye negative zvinoreva kuti pane ma soluton maviri.

Chii kana a i zero?

Kana kuti equation iri rakamira, kwete quadratic, uye quadratic formula haisi kutevedzera. Insert a non-zero value for a.

Chii chinonzi vertex yeparabola?

Iyi ndiyo nzvimbo yekuchinja (h, k) iyo kurongeka kunosvika pakukwira kana kukwira. Iyi chirongwa chinoizivisa pamwe chete nechiso chekuenzanisa, iyo nhamba x = h.

Chii chinoratidza fomu yefactored?

Kana rudzi rwemubvunzo rwakanyorwa sea(x − r₁)(x − r₂), ipapo mubvunzo unonyorwa sea(x² − 5x + 6 = 0) kana kuti (x − 3)(x − 2).

Ndezvipi zviuru zvakaoma?

Kana kuti kana kuti kana kuti kana kuti kana kuti kana kuti kana kuti kana kuti kana kuti kana kuti kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana kana kuti kana.

Muenzaniso: 5x + 6 = 0.

The discriminant ndiro 1, kupihwa maviri chokwadi rusununguko, x = 3 uye x = 2 — default muenzaniso akaratidzwa ne calculator.

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API — kushandisa iyi kalkulator kubva code

Chiva iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo zviwanikwa pasi separameter query kana JSON. Tora yakazara API docs →

Endpoint

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);

Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.