Kitatuzi cha mlinganyo wa kiwiliwili

Tatua ax² + bx + c = 0 na uone mizizi, kibaguzi na kilele.

Hufanya kazi kwenye kivinjari chako. Faili zako hazitoki kamwe kwenye kifaa. Tazama jinsi ya kuthibitisha

…

Jinsi ya kufanya

  1. 1
    Jaza visanduku

    Andika namba zako au chagua chaguo unazohitaji.

  2. 2
    Angalia matokeo

    Jibu husasishwa mara moja unapobadilisha thamani.

  3. 3
    Litumie

    Nakili matokeo au yaandike. Hakuna kinachotumwa popote.

About this tool

Enter the coefficients a, b and c of ax² + bx + c = 0. The solver finds both roots using the quadratic formula, tells you the discriminant and shows the vertex and axis of symmetry. If the discriminant is negative, the roots are shown as complex numbers.

When to use it

Solve ax² + bx + c = 0 and see the roots, discriminant and vertex.

Tips

If the discriminant is negative, there are no real roots.

Privacy

Everything runs in your browser, so your data is not uploaded or stored.

Mfano uliotatuliwa

With the boxes at their starting values (a (coefficient of x²): 1; b (coefficient of x): -3; c (constant): 2), the tool shows: Discriminant: 1; Vertex: (1.5, -0.25); Axis of symmetry: x = 1.5; Root x₂: 1; Root x₁: 2. Change any box to see your own numbers. The result updates as you type, and nothing leaves your browser.

Vidokezo vya matokeo bora

Angalia kila kisanduku kabla ya kuamini matokeo, kwa sababu nambari moja isiyo sahihi hubadilisha jibu zima. Tumia nambari kamili kutoka kwenye hati ya mshahara, ankara, cheti au mkataba na uandike tarehe uliyohesabu. Viwango, vizingiti na sheria hubadilika mara kwa mara, kwa hivyo kwa kodi, ada na masuala ya kisheria chukulia matokeo kuwa makadirio na uyathibitishe na chanzo rasmi kilichotajwa kwenye ukurasa huu. Unaweza kujaribu hali nyingi unavyotaka; hakuna kinachohifadhiwa wala kutumwa na kupakia upya ukurasa husafisha visanduku.

Kwa ufupi

Weka kikokotoo hiki kwenye tovuti yako

Nakili msimbo huu ili kuonyesha kikokotoo kwenye ukurasa wako. Unajumuisha kiungo cha kurudi shobfree.com.

Maswali yanayoulizwa mara kwa mara

What is the discriminant?

b² − 4ac. If it is positive there are two real roots, if zero one repeated root, if negative two complex roots.

What if a is 0?

Then it is not a quadratic equation. It becomes a straight line, so a must not be zero.

What is the discriminant?

b² − 4ac. It tells how many real roots exist.

What if a is zero?

Then it is not quadratic.

Kikokotoo cha kisayansiKikokotoo cha kisayansi cha mtandaoni bila malipo chenye sin, cos, log, vipeo, mizizi ya mraba na mabano.
Jaribio la kasi ya kuandikaJaribu kasi yako ya kuandika kwa maneno kwa dakika pamoja na usahihi.
Jaribio la kamera ya wavutiAngalia kama kamera yako inafanya kazi na uone ubora wake.
Kipima muda cha PomodoroFanya kazi kwa vipindi vya umakini vya dakika 25 na mapumziko mafupi na marefu.
Hesabu kurudi nyuma hadi tareheOna siku, saa, dakika na sekunde hadi tarehe unayoweka.
Rula ya mtandaoniRula kwenye skrini kwa sentimita na inchi unayoweza kuisawazisha kwa kadi ya benki.
Kikokotoo cha kodi ya mapato ya BangladeshKadiria kodi ya mapato ya mwaka kwa watu binafsi nchini Bangladesh.
Kikokotoo cha GPA ya SSC / HSCHesabu GPA yako kati ya 5.00 ikiwemo somo la nne.
Kikokotoo cha FDR na DPSHesabu thamani ya kukomaa ya amana ya muda maalum (FDR) au mpango wa amana wa kila mwezi (DPS).
Kikokotoo cha sehemuJumlisha, toa, zidisha na gawanya sehemu na namba mchanganyiko.
Kikokotoo cha wastani, kati na kawaidaPata wastani, kati, kawaida, masafa na jumla ya orodha ya nambari.
Kikokotoo cha mudaOngeza au toa siku, saa, dakika na sekunde.
Bila malipo kabisaHakuna ada, hakuna usajili
Faili hubaki za faraghaKila kitu hufanya kazi kwenye kivinjari chako
Rahisi katika lugha yakoInapatikana kwa lugha nyingi