Question

algebraic equations most there pointa​

Answer 1

In mathematics, an algebraic equation or polynomial equation is an equation of the form

{\displaystyle P=Q} P=Q

where P and Q are polynomials with coefficients in some field, often the field of the rational numbers. For most authors, an algebraic equation is univariate, which means that it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called multivariate and the term polynomial equation is usually preferred to algebraic equation.

For example,

{\displaystyle x^{5}-3x+1=0} x^{5}-3x+1=0

is an algebraic equation with integer coefficients and

{\displaystyle y^{4}+{\frac {xy}{2}}={\frac {x^{3}}{3}}-xy^{2}+y^{2}-{\frac {1}{7}}} y^{4}+{\frac {xy}{2}}={\frac {x^{3}}{3}}-xy^{2}+y^{2}-{\frac {1}{7}}

is a multivariate polynomial equation over the rationals.

Some but not all polynomial equations with rational coefficients have a solution that is an algebraic expression that can be found using a finite number of operations that involve only those same types of coefficients (that is, can be solved algebraically). This can be done for all such equations of degree one, two, three, or four; but for degree five or more it can only be done for some equations, not for all. A large amount of research has been devoted to compute efficiently accurate approximations of the real or complex solutions of a univariate algebraic equation (see Root-finding algorithm) and of the common solutions of several multivariate polynomial equations (see System of polynomial equations).

Answer 2

Answer....

• An algebraic equations is an equal in one variable c equal sign the expression on the left of the equation sin is left hand side lhs the expression on the right of the equation sin is the right hand side RHS

• in an equation the variables of the expression on the left hand side and right hand side are equal this happens to be true only for certain values of the variable these rules are called solutions of the equation

how to find the solution of an equation??

• we assum that two sides of the equation are balanced to perform the same mathematical operation on both sides of the equation so the balance is not disturb a few search steps given the equation