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Are you Ready for More?!. A.6 : Solving Equations by: Factoring, Square Root Method and Completing the Square (CTS)!. A.6 : Solving Equations by: Factoring, Square Root Method and CTS!. The students (YOU!), will be able to: Solve Equations in One Variable
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Are you Ready for More?! A.6: Solving Equations by: Factoring, Square Root Method and Completing the Square (CTS)!
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
A.6: Solving Equations by: Factoring, Square Root Method and CTS! • You are going to LOVE this! Who doesn’t like some good ‘ole review problems? • Ex1 Solve the following eqns by FACTORING: • a) 3x2 + 5x – 2 = 0 b) x3 + x2 – 20x = 0 • b) x3 = x2 d) x3- 2x2– 4x + 8 = 0
A.6: Solving Equations by: Factoring, Square Root Method and CTS! • Ex2 Solve the following eqns by the SQUARE ROOT METHOD: • a) x2 – 5 = 0 b) (x + 2)2 = 1
A.6: Solving Equations by: Factoring, Square Root Method and CTS! • Remember Completing the Square? If you start with x2 + mx, what do you add to both sides? • What, then, is your end result? • Do you remember how much fun this is?!
A.6: Solving Equations by: Factoring, Square Root Method and CTS! • Ex3 Solve by Completing The Square: • a) x2 – 6x = 16 b) x2 + 3x = 0 c) 2x2 + 8x = 10
A.6: Solving Equations by: Factoring, Square Root Method and CTS! • The Quadratic Formula: Consider the equation ax2 + bx + c = 0, • If b2 – 4ac < 0, then ___________________________________________________________________ • If b2 – 4ac 0, then __________________________________________________________________ • x = __________________________
A.6: Solving Equations by: Factoring, Square Root Method and CTS! • Ex4 Solve by applying the Quadratic Formula: • a) 3x2 + 4 = -6x b) -2x2 + 7x = -9 HMWK #2
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