Kitatuzi cha mlinganyo wa kipeo cha pili
Tatua ax² + bx + c = 0, pamoja na vipeuo changamani na kipeo.
Kuhusu Kitatuzi cha mlinganyo wa kipeo cha pili
Tatua ax² + bx + c = 0, pamoja na vipeuo changamani na kipeo.
Sehemu ya kitengo cha “Hisabati” cha SmartCalcy. Kinaendeshwa kwenye kivinjari chako bila akaunti, kinatumia sarafu na vipimo vyako (vibadilishe juu ya ukurasa), na kinatoa makadirio kwa taarifa tu, kwa hiyo angalia mwongozo rasmi kabla ya kutegemea matokeo.
Jinsi ya kutumia Kitatuzi cha mlinganyo wa kipeo cha pili
Kinachohesabu na wakati wa kukitumia
Kinatatua ax² + bx + c = 0, kikitoa mizizi halisi au changamani, kipeo na kibaguzi.
Jinsi ya kukitumia, hatua kwa hatua
- Weka a, b na c.
- Soma mizizi, kibaguzi na kipeo.
Maana ya kila ingizo
- a – Inaanza at 1.
- b – Inaanza at -3.
- c – Inaanza at -10.
Jinsi ya kusoma matokeo
- Vipeuo viwili halisi – The headline answer. In the default example it reads x = 5, -2.
- Kibainishi (b² − 4ac) – Default Mfano: 49.
- Kipeo – Default Mfano: (1.5, -12.25).
- Mhimili wa ulinganifu – Default Mfano: x = 1.5.
- Inafunguka – Default Mfano: Kuelekea juu.
Fomula
x = (−b ± √(b² − 4ac)) ÷ 2a. The discriminant b² − 4ac decides the roots: positive gives two real roots, zero gives one, negative gives two complex roots. Vertex x = −b ÷ 2a.
Mfano uliofanyiwa kazi
With the starting entries (a: 1, b: -3, c: -10), the calculator shows two real roots of x = 5, -2. It also reports discriminant (b² − 4ac) 49; vertex (1.5, -12.25); axis of symmetry x = 1.5; opens Upwards.
Dhana na mipaka
- a is not zero. If a is zero the equation is linear.
Makosa ya kawaida
- Si sahihi sign on b.
- Forgetting the 2a huko the denominator.
Maswali yanayoulizwa mara kwa mara
Itakuwaje ikiwa kibaguzi ni hasi?
Hakuna mizizi halisi; mizizi ni changamani zilizooanishwa.
Zana zinazohusiana
Maelezo
- Kibainishi (b² − 4ac)
- 49
- Kipeo
- (1.5, -12.25)
- Mhimili wa ulinganifu
- x = 1.5
- Inafunguka
- Kuelekea juu