SOLVING TWO VARIAVBLE EQUATION SYSTEMS HOW TO
As solving equations of type (1) is simple (just a matter of division) and solving equations of type (4) is complex (beyond the scope), I am going to discuss how to solve the equations of type (2), type (3) and type (5) only. Here, n is any integer greater than 2 (if n=1, it is nothing but a normal Linear Equation). number of roots is two but number of solutions is one.ġ) Degree = 1 & Number of Variables = 1 (Referred to as Linear Equation) (Example : 2x+3=0)Ģ) Degree = 2 & Number of Variables = 1 (Referred to as Quadratic Equation) (Example : 2x 2+3x+4=0)ģ) Degree = 3 & Number of Variables = 1 (Referred to as Cubic Equation) (Example : 2x 3+3x 2+4x+5=0)Ĥ) Degree = 4 & Number of Variables = 1 (Referred to as Bi Quadratic Equation) (Example : 2x 4+3x 3+4x 2+5x+6=0)ĥ) Degree = 1 & Number of Variables = n (Referred to as n Linear Equations of n variables) (Example : 2x+3y+4z=5 & 3x+4y+5z=6 & 4x+5y+6z=7 where n=3) For example, the roots of the equation x 2-2x+1=0 are 1, 1 but solution is 1 (taken only once) i.e. Solution : Solutions are same as roots, but without considering repetitions. Root : The values of variables present in the equation where the equation holds true are called the roots of the equation. For example, degree of the equation x 2+2x+1=0 is 2 because 2 is the maximum power appearing in the equation. Finding the values of such variables is referred to as solving the equation.ĭegree : The highest power appearing in the equation is called the degree of the equation. Variable : Unknown values are replaced with alphabets like x, y etc. The basic terms used in the theory of equations are as follows.
Equations An equation is a mathematical notation consisting of an equal to (=) symbol and two expressions on both sides of the equal to (=) symbol.
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