The characteristic of Jinsheng formula is that it consists of the simplest multiple root discriminant A = B 2-3ac, B = BC-9ad, C = C 2-3bd and the total discriminant δ = B 2-4ac.
Jinsheng formula is concise and easy to remember, and the solution is intuitive, accurate and efficient, which embodies the beauty of order, symmetry, harmony and simplicity in mathematics.
Especially when δ = b 2-4ac = 0, the expression of Jinsheng Formula 3 is very concise and beautiful.
Jinsheng formula, discriminant method and theorem constitute a complete, concise, practical and mathematically beautiful theoretical system for solving cubic equations.
1, when A=B=0, the equation has triple real roots.
2. When δ = B2-4ac >; 0, the equation has a real root and a pair of * * * yoke complex roots.
3. When δ = b2-4ac = 0, the equation has three real roots, including one multiple root.
4. When δ = B2-4ac