Ex: formula puteri, formule analiza financiara, inmultirea radicalilor exercitii rezolvate
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Trinomul patrat

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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