For a positive integer n, the complex number z = r(cos 0 + i sin 0) has exactly n distinct nth roots given by vr(cos 0 + 2rk COS 0 + 2xk + i sin in in where k = 0, 1, 2, . ..,n – 1. Use the formula above to find all the solutions of the equation and represent the solutions graphically. x3 – 729 = 0 k = 0: k = 1: k = 2:

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.