Hypeffffffffffffffffffffffffffffffffffffffffffbola.pptx

dwdwdwdwdwd

1. LEARNING OBJECTIVES At the end of the learning session, you are expected to : identify radical equations; solves equations involving radical expressions; and appreciates the application of radical equations in real life.

2. RADICAL EQUATION A radical equation is an equation whose unknown quantity appears in the radicand. Determine whether the given equation is a radical equation or NOT.   NOT radical equation   R adical E quation   R adical E quation   NOT radical equation

3. PRINCIPLE OF POWERS To solve radical equations, we need to apply the Principle of Powers. That is, if , then .  

4. Steps in solving radical equations Write the equation such that the radical containing the unknown is on one side of the equation.   2. Combine similar terms.  

5. Steps in solving radical equations Raise both members of the equation to a power whose exponent is the same as the index of the radical. If the equation is free of radicals, then complete the solution.                

6. Steps in solving radical equations Always check if the values obtained are solutions of the original equation.   If then       ? ?  

7. EXAMPLE 2 Solve for the value of given the radical equation .                                

8. Example 2 continued …           By ZPP,   or  

9. Always check your answers !!! When   When       is an extraneous solution  

10. Your turn! Solve and check.      

11. Solve and check. 1. 2. 3. 4.  

12. EVALUATION Solve and check. 1. 2. 3.