Quadratic equation example:
𝑎 = 3 , 𝑏 = 4 , 𝑐 = −5
𝑓(𝑥) = 𝑎 · 𝑥 2 + 𝑏 · 𝑥 + 𝑐 = 0
Discriminant - 𝐷 = 𝑏2 − 4 · 𝑎 · 𝑐 = 42 − 4 · 3 · (−5) = 76
𝑥1 =
−𝑏 − √𝐷 −4 − √76
=
= −2.12
2·𝑎
2·3
𝑥2 =
−𝑏 + √𝐷 −4 + √76
=
= 0.786
2·𝑎
2·3