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Equations, Inequalities, and Applications Involving Root Functions

Video Summary:

Power Property If P and Q are algebraic expressions, then every solution of the equation P = Q is also a solution of the equation Pn = Qn, for any positive integer n. Note: This property does not say that the two equations are equivalent. The new equation may have more solutions than the original. Solving an Equation Involving a Root Function Isolate a term involving a root on one side of the equation. Raise both sides of the equation to a power that will eliminate the radical or rational exponent. Solve the resulting equation. (If a root is still present after Step 2, repeat Steps 1 and 2.) Check each proposed solution in the original equation.



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