algebra 101 online

Question: Solve the following equation: 7x+5=3x-25 Answer: ..

Case (i): If n is a positive integer. We have, Case (ii): If n is a negative integer. Let n = -k, where k is a positive integer ..

Summary of Relation properties - (i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc(i) R is reflexive if aRa (ii) R is transitive if aRb and bRc implies aRc (iii) R is symmetric if aRb implies bRa. A relation which is reflexive, transitive, and symmetric is called an equivale..

If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..

Fundamentals of Equations Algebraic and transcendental equations; If f(x) is a polynomial in x, then f(x) =0 is an algebraic equation. Example; x 7 + 5x - 2=0. If f(x) contains algebraic and non algebraic functions namely exponential, logarithmic, t..

A solution of a linear equation is the value of the variable which makes LHS = RHS. It is also called the "root" of the equation. To solve a linear equation , we transpose all the terms containing the variable to one side and the constant terms to the other. The equation then reduces to th..

A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the equation are equal. Henc..

Linear equations in two variables - A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simple linear..

An equation of one variable and of first order (i.e., its highest power is one) is called a linear equation . Such an equation has only one solution. A solution is also called the 'root' of the given equatio..

An equation in a single variable is called a polynomial equation of degree 'n' if it is an equation of the form In other words, an equation is a statement of equality between two algebraic expressions. It is satisfied by a limited number of values of the variabl..