Ecuatia patrata ax2 + bx + c = 0, a ≠ 0 are:
a) doaua solutii distincte, daca determinantul Δ = b2 – 4ac
> 0
x1 = (- b - √Δ) / 2a
x2 = (- b + √Δ) / 2a
b) doua radacini egale daca Δ = 0
x1 = x2 = - b / 2a
c) nu are solutii daca Δ < 0
Cazuri particulare
a) ax2 + 2kx + c = 0,
a ≠ 0
x1,2 = [- k ± √(k2 - ac)] unde (k – ac ≥ 0)
b) x2 + px + q = 0, x1,2
= -(p / 2) ±√[(p / 2)2 – q], daca p2 ≥ 4q
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