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• College Algebra 1.4 I. Radical Equations; II. Equations Quadratic in Form; III. Factorable Equations
• 2. Raise each SIDE to the appropriate power
• ( square a square root, cube a cube root, etc .) and simplify.
• 3. (Repeat until no radicals remain.)
• 4. Solve the resulting equation.
• 5. CHECK for EXTRANEOUS SOLUTIONS.
• Note: Extraneous solutions are solutions which do not solve the original equation. They are Extra(neous).
• extraneous solution (does not work in the original equation)
• II. “Quadratic Form” Equations – The degree of one term is twice the degree of the other term.
• Method 1: Substitution
• 1. Substitute another variable, say u, for the original variable to obtain the form:
• au 2 + bu + c = 0
• 2. Solve this quadratic equation (for u) using
• any method you wish.
• 3. Substitute the solutions for u to find the
• solutions for the original variable.
•
• III. Higher Degree Polynomial Equations
• ● Try to solve by Factoring.
• ● Remember to first look for a ___________
• ● Remember the different methods of Factoring for different situations: trinomials, difference of squares, sum/difference of cubes, grouping, etc.
• ● Remember that the solutions to f(x)= 0 are: ________________________________
• Solve the equation: