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i have a 3rd degree equation as follows. how can i solve this. What are the methods available?
x^3-a*x^2+b*x+c=0
i want to find x. a,b,c are all constants
x^3-a*x^2+b*x+c=0
i want to find x. a,b,c are all constants
Solving a 3rd degree equation involves using a combination of algebraic techniques, such as factoring, the quadratic formula, and synthetic division. The goal is to isolate the variable and find its value.
The general formula for solving a 3rd degree equation, also known as a cubic equation, is ax^3 + bx^2 + cx + d = 0. This is the standard form of a 3rd degree equation.
Yes, all 3rd degree equations can be solved. However, some equations may have complex solutions, meaning that they involve imaginary numbers.
A 3rd degree equation can have up to three solutions. This is because the highest exponent in a cubic equation is 3, and the fundamental theorem of algebra states that a polynomial of degree n has n complex roots.
To check if the solution to a 3rd degree equation is correct, you can substitute the value of the variable back into the original equation and see if it equals 0. If it does, then the solution is correct. You can also use a graphing calculator or software to graph the equation and see if the solution(s) match the points where the graph intersects the x-axis.