What is an equation. ?

Question

“What is an equation.

What is the degree of equation and relationship between degree and roots of equation? Relationship between the coefficients and roots.

Types of equations and any five methods (brief description)to solve these equations?”

Answer 1

Equation is anything with = in it

Degree of a monomial is the sum of the exponents of the variables of a monomial. The degree of an equation is the highest degree of any of its monomial terms.

There are as many roots as the degree.

The coefficients are the numbers in front of the variables, like t e 3 in 3x^2. There is no relationship between them and the number of roots. However they will determine the type of roots (imaginary, real, rational, etc)

Types : constant, linear, quadratic, third degree, fourth degree, etc. Also logarithmic, exponential, trigonometric, etc.

Answer 2

An equation is a mathematical statement of equality between two expressions. The degree of an equation is the power to which the independent variable (usually denoted by x) is raised.
y = x is a first degree equation and is a straight line.
y= x^2 is a 2nd degree equation and is a parabola
y= x^n is an nth degree equation.
An equation of the nth degree has n roots some of which may be real and some of which may be imaginary.

Methods of solving equations include factoring, the quadratic, cubic and quartic formulas, Newton's method , Horner's method, grapical methods,and trial and error.

Coefficients affect the appearance of graphs of equations by making them wider or narrower, higher or lower, etc.

A description of solution methods would make this answer too long, so look them up in a good math text book.

Answer 3

This might help: http://en.wikipedia.org/wiki/Equations