3 11.3 – Solving Radical Equations Inverse OperationsHow would you solve the following equation?Solve by taking the SQUARE ROOT. Why?Square roots and Squaring are inverse operations… they “undo” eachother!
4 11.3 – Solving Radical Equations Inverse OperationsSo… consider this: How could you solve for x now?Solve by doing the inverse operation: SQUARING!
5 A Refresher on Inverses (opposites): 11.3 – Solving Radical EquationsA Refresher on Inverses (opposites):Opposite of Multiply is ____________Opposite of Add is ____________Opposite of Divide is ____________Opposite of Subtract is ____________Opposite of squaring is ____________Opposite of square rooting is ____________
6 11.3 – Solving Radical Equations A radical equation is an equation with a radical in it.
8 11.3 – Solving Radical Equations Steps to Solving Radical Eq.’sIsolate the radicand – get all radicands on one side and all constants on the other.Square both sides of the equationSolve for xCHECK YOUR ANSWER!!!!
9 11.3 – Solving Radical Equations If there are square roots on both sides, square both sides to get rid of them.
10 11.3 – Solving Radical Equations #1 SolveStandard Form