formula_faq_title
formula_faq_1_question
formula_faq_1_answer
formula_faq_2_question
formula_faq_2_answer
formula_faq_3_question
formula_faq_3_answer
formula_faq_4_question
formula_faq_4_answer
The Cubic Formula and Solving Methods
Explore the algebraic backbone of cubic equations. From the general form to Cardano's historical derivation, we break down how third-degree polynomials are solved.
formula_general_form
ax³ + bx² + cx + d = 0
formula_depressed_h2
formula_depressed_p1
t³ + pt + q = 0
formula_depressed_p2
formula_cardano_h2
formula_cardano_p
formula_discriminant
Δ = (q/2)² + (p/3)³
formula_roots_h2
formula_roots_p
- Δ > 0: formula_roots_li1
- Δ = 0: formula_roots_li2
- Δ < 0: formula_roots_li3