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Solve any quadratic equation ax² + bx + c = 0, including complex roots.

First root (x₁) —
Second root (x₂) —
Discriminant (b² − 4ac) —
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QWebPage —
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Results update as you type.

Shin wannan Kalkulator ya ba ka amsa madaidaiciya?

[Translation temporarily unavailable. Please try again.]

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. If a is 0 the equation is linear, not quadratic, and the formula does not apply. If a is 0 the equation is linear, not quadratic, and the formula does not apply.QuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQuadraticsQua

Tambayoyi da ake yi da yawa

Me ya gaya mini game da mai rarrabẽwa?

Ma'ana b² − 4ac na yanke hukunci kan tushe: na zahiri yana nufin matsaloli biyu na gaskiya, na sifar yana nufin matsaloli biyu na sake-sauya, kuma na baƙin ciki yana nufin matsaloli biyu na haɗari.

Me ya faru idan a shi ne zero?

Then the equation is linear, not quadratic, and the quadratic formula does not apply. Enter a non-zero value for a.

QPrintPreviewDialog

Shi ne maɓallin juyawa (h, k) inda ƙuƙumma ke kaiwa mafi girma ko mafi ƙaranci. Wannan kayan aiki na ba da rahoton shi tare da maɓallin daidaita, layin x = h.

Me ake nunawa a cikin siffar da aka raba?

When the roots are real, the equation is rewritten as a(x − r₁)(x − r₂). For x² − 5x + 6 = 0 that is (x − 3)(x − 2).

Mẽne ne ƙuƙumma mai haɗari?

Idan an yi amfani da wannan tsari, to, za a iya samun ma'ana ta hanyar amfani da ma'anar da aka yi amfani da ita a cikin kalmar, da kuma ma'anar da aka yi amfani da ita a cikin kalmar.

Solve x² − 5x + 6 = 0.

The discriminant is 1, giving two real roots, x = 3 and x = 2 — the default example shown by this calculator.

QSoftKeyManager

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[Translation temporarily unavailable. Please try again.] Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. [Translation temporarily unavailable. Please try again.] →

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);

Results are estimates for general guidance only, not financial, medical or tax advice.