Cubic difference formula and cubic sum formula * * * are called complete cubic formula. Specifically: the sum of squares of two numbers plus the product of two numbers and then multiplied by the difference of two numbers, the product is equal to the cubic difference of two numbers. Specifically: the sum of squares of two numbers plus the product of two numbers and then multiplied by the difference of two numbers, the product is equal to the cubic difference of two numbers.
one variable cubic equation
The formula for finding the root of the univariate cubic equation can't be deduced by ordinary deductive thinking. The standard univariate cubic equation of AX 3+BX 2+CX+D+0 can only be formalized into a special type of X 3+PX+Q = 0 by using a matching method similar to the formula for finding the root of the univariate quadratic equation.
The solution of the solution formula of the univariate cubic equation can only be obtained by inductive thinking, that is, the form of the root formula of the univariate cubic equation is summarized according to the form of the root formula of the univariate quadratic equation and the special higher order equation.
The formula for finding the root of a univariate cubic equation in the form of x 3+px+q = 0 should be X = A (1/3)+B (1/3), which is the sum of two exponents. This paper summarizes the form of the root formula of the univariate cubic equation, and the next step is to find out the content of the square, that is, to represent a and b with p and q.