Home Graphing and Writing Linear Functions SOLVING EQUATIONS INVOLVING RATIONAL EXPONENTS Linear Equations and Graphing Systems of Linear Equations Solving Polynomial Equations Matrix Equations and Solving Systems of Linear Equations Introduction Part II and Solving Equations Linear Algebra Graphing Linear Inequalities Using Augmented Matrices to Solve Systems of Linear Equations Solving Linear Inequalities Solution of the Equations Linear Equations Annotated Bibliography of Linear Algebra Books Write Linear Equations in Standard Form Graphing Linear Inequalities Introduction to Linear Algebra for Engineers Solving Quadratic Equations THE HISTORY OF SOLVING QUADRATIC EQUATIONS Systems of Linear Equations Review for First Order Differential Equations Systems of Nonlinear Equations & their solutions LINEAR LEAST SQUARES FIT MAPPING METHOD FOR INFORMATION RETRIEVAL FROM NATURAL LANGUAGE TEXTS Quadratic Equations Syllabus for Differential Equations and Linear Alg Linear Equations and Matrices Solving Linear Equations Slopeintercept form of the equation Linear Equations DETAILED SOLUTIONS AND CONCEPTS QUADRATIC EQUATIONS Linear Equation Problems Systems of Differential Equations Linear Algebra Syllabus Quadratic Equations and Problem Solving LinearEquations The SlopeIntercept Form of the Equation Final Exam for Matrices and Linear Equations Linear Equations 
SOLVING EQUATIONS INVOLVING RATIONAL EXPONENTSDefinition: (If n is even then we require a ≥ 0.) In other words, in a
rational exponent, the numerator indicates Important Properties: • To solve First,
isolate the variable. Then, raise both sides of the expression to the Common Mistakes to Avoid: • Although you can raise both sides of an equation to the
same power without changing the solutions, • Remember that whenever you have the even root of a
positive number, we get two answers: one • Do NOT attach a when
working with odd roots. When you take the odd root of a number, you • Make sure that the variable is isolated before raising both sides to the same power. For example, PROBLEMS Solve for x in each of the following equations. First, we will isolate the variable. Next, we will raise both sides to the 3/2 Notice that we are unable to isolate the vari Setting each factor equal to zero, we obtain OR (for an alternative way) Setting each factor equal to zero, we obtain First, we will isolate the variable. Then we First, we will isolate the variable. Next, we will raise both sides to the 3/5 First, we will factor this expression com Setting each factor equal to zero, we obtain If we check x = 1 by substituting back into Since we cannot isolate the variable, we will Setting each factor equal to zero, we get Because we raised both sides to an even
Notice that the quantity containing the ra Notice that although this equation does not Simplifying this last equation we get Notice that we cannot solve this one by fac Setting each factor equal to zero, we obtain
