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What are the differences of linear and non-linear equation?
Linear equations have a variable only to the first degree(something to the power of 1). For example: 2x + 1 = 5 , 4y - 95 = 3y are linear equations. Non-linear equation have a variable that has a second degree or greater. For example: x2 + 3 = 19, 3x3 - 10 = 14 are non-linear equations.
The standard conic section are described today by Linear equation Bi-quadratic equations Quadratic equations Cubic equations?
The standard of conic section by linear is the second order polynomial equation. This is taught in math.
What is the meaning of a system of linear equation that are dependent?
It means that at least one of the equations can be expressed as a linear combination of some of the other equations. A linear combination of equations is the addition (or subtraction) of equations. And since an equation can be added several times, it includes multiples of equations. For example, if you have x + 2y = 3 and 2x + y = 4 Then adding 2 times the first and 3 times the second gives 8x + 7y = 18 This is, therefore, dependent on the other 2. If you have n unknown variables, there will be a unique solution if, and only if, you must have a set of n independent linear equations.
Complex roots occur in conjugate pairs?
Not for all types of equations. But always in second degree equations they do. Consider a third degree equation with 3 different roots. Obviously, one of the roots can not be in a pair.
Do quadratic equations have exponents?
Yes. A quadratic is a second degree equation, one in which the highest power is 2 (i.e. squared).
