for an 2nd order the roots are : [-b+-sqrt(b^2-4ac)]/2a
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MATLAB can be used to find the roots of a given equation by using the built-in functions like "roots" or "fzero". These functions can solve equations numerically and provide the values of the roots. By inputting the equation into MATLAB and using these functions, the roots can be easily calculated and displayed.
To find all rational roots of a polynomial equation, you can use the Rational Root Theorem. This theorem states that any rational root of a polynomial equation in the form of (anxn an-1xn-1 ... a1x a0 0) must be a factor of the constant term (a0) divided by a factor of the leading coefficient (an). By testing these possible rational roots using synthetic division or polynomial long division, you can determine which ones are actual roots of the equation.
To find the roots of a function in MATLAB, you can use the "roots" function for polynomials or the "fzero" function for general functions. The "roots" function calculates the roots of a polynomial, while the "fzero" function finds the root of a general function by iteratively narrowing down the root within a specified interval.
The result of 2 mod 3 in the given equation is 2.
To reduce the expression of a mathematical equation using Mathematica, you can use the Simplify function. Simply input the equation into Mathematica and apply the Simplify function to simplify and reduce the expression.