Mai warware lissafin quadratic
Warware ax² + bx + c = 0, tare da saiwoyi na complex da vertex.
Game da Mai warware lissafin quadratic
Warware ax² + bx + c = 0, tare da saiwoyi na complex da vertex.
Ɓangare ne na sashen “Lissafi” na SmartCalcy. Yana aiki a burauzar ku ba tare da asusu ba, yana amfani da kuɗinku da ma'aunanku (canza su a saman shafin), kuma yana ba da ƙiyasi don bayani kawai, don haka duba jagorar hukuma kafin ku dogara da sakamako.
Yadda ake amfani da Mai warware lissafin quadratic
Abin da yake lissafawa da lokacin amfani da shi
Yana warware ax² + bx + c = 0, yana ba da saiwoyi na gaske ko na complex, vertex da discriminant.
Yadda ake amfani da shi, mataki-mataki
- Shigar da a, b da c.
- Karanta saiwoyi, discriminant da vertex.
Ma'anar kowace shigarwa
- a – Farawa at 1.
- b – Farawa at -3.
- c – Farawa at -10.
Yadda ake karanta sakamako
- Saiwoyi biyu na gaske – The headline answer. In the default example it reads x = 5, -2.
- Discriminant (b² − 4ac) – Default Misali: 49.
- Vertex – Default Misali: (1.5, -12.25).
- Layin daidaito (axis of symmetry) – Default Misali: x = 1.5.
- Yana buɗewa – Default Misali: Zuwa sama.
Dabarar lissafi
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.
Misali da aka warware
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.
Zato da iyakoki
- a is not zero. If a is zero the equation is linear.
Kurakuran da aka saba yi
- Kuskure sign on b.
- Forgetting the 2a a the denominator.
Tambayoyin da ake yawan yi
Idan discriminant ba shi da kyau (negative) fa?
Babu saiwoyi na gaske; saiwoyin complex conjugates ne.
Kayan aiki masu alaƙa
Cikakkun bayanai
- Discriminant (b² − 4ac)
- 49
- Vertex
- (1.5, -12.25)
- Layin daidaito (axis of symmetry)
- x = 1.5
- Yana buɗewa
- Zuwa sama