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MA 15200 - Purdue Math
MA 15200 - Purdue Math

... A linear equation in one variable x is an equation that can be simplified or written in the form ax  b  0 , where a and b are real numbers, a  0 . In other words, it is an equation where the variable is only to the first power. Solving an equation involves determining all values for the variable ...
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System of polynomial equations

A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1, ..., xn, over some field k.Usually, the field k is either the field of rational numbers or a finite field, although most of the theory applies to any field.A solution is a set of the values for the xi which make all of the equations true and which belong to some algebraically closed field extension K of k. When k is the field of rational numbers, K is the field of complex numbers.
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