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A.6: Solving Equations by: Factoring, Square Root Method and Completing the Square (CTS)! Are you Ready for More?! Slide 2 A.6: Solving Equations by: Factoring, Square Root Method and CTS! The students (YOU!), will be able to: Solve Equations in One Variable Solve Eqns Using the Square Root Method Solve Eqns by Completing the Square (CTS) Obtain the Quadratic Formula Slide 3 A.6: Solving Equations by: Factoring, Square Root Method and CTS! You are going to LOVE this! Who doesnt like some good ole review problems? Ex1Solve the following eqns by FACTORING: a)3x 2 + 5x 2 = 0b) x 3 + x 2 20x = 0 b)x 3 = x 2 d) x 3 - 2x 2 4x + 8 = 0 Slide 4 A.6: Solving Equations by: Factoring, Square Root Method and CTS! Ex2Solve the following eqns by the SQUARE ROOT METHOD: a)x 2 5 = 0b)(x + 2) 2 = 1 Slide 5 A.6: Solving Equations by: Factoring, Square Root Method and CTS! Remember Completing the Square? If you start with x 2 + mx, what do you add to both sides? What, then, is your end result? Do you remember how much fun this is?! Slide 6 A.6: Solving Equations by: Factoring, Square Root Method and CTS! Ex3Solve by Completing The Square: a)x 2 6x = 16 b)x 2 + 3x = 0 c)2x 2 + 8x = 10 Slide 7 A.6: Solving Equations by: Factoring, Square Root Method and CTS! The Quadratic Formula: Consider the equation ax 2 + bx + c = 0, If b 2 4ac < 0, then ____________________________________________ _______________________ If b 2 4ac 0, then ____________________________________________ ______________________ x = __________________________ Slide 8 A.6: Solving Equations by: Factoring, Square Root Method and CTS! Ex4Solve by applying the Quadratic Formula: a) 3x 2 + 4 = -6xb) -2x 2 + 7x = -9 HMWK #2 Slide 9 A.6: Solving Equations by: Factoring, Square Root Method and CTS! Did we hit the TARGET?: Solve Equations in One Variable Solve Eqns Using the Square Root Method Solve Eqns by Completing the Square (CTS) Obtain the Quadratic Formula