Фоомула квадоата

Kvadrat tenglama uchun formula (ax^2 + bx + c = 0, a ≠ 0):

Diskriminant: D = b^2 − 4ac

Ildizlar: x1 = (-b + sqrt(D)) / (2a) x2 = (-b - sqrt(D)) / (2a)

Holatlar:

• D > 0: ikki haqiqiy ildiz
• D = 0: bitta ikki tomonlama ildiz: x = -b/(2a)
• D < 0: ikki murakkab son ildizi (complex)

Masala uchun misol: 2x^2 − 4x − 6 = 0 D = (-4)^2 − 4·2·(-6) = 16 + 48 = 64 sqrt(D) = 8 x1 = (4 + 8) / 4 = 3, x2 = (4 − 8) / 4 = −1

Agar biror misol berilsa, men uni ham yechib beraman.