Square Completion - Advanced Algebra - Lecture Handout, Exercises of Calculus

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Wz ACe-hyh de Advanced Algebra 5.5 Notes Learning Targets... 1. Solve a quadratic equation by completing the square LT: Solve a quadratic equation by completing the square Steps... 1. Putthe x? &x term in (); leave a+ and a space at the end Factor so you get a 1 in front of x” Divide the number in front of the x (let’s call it n) by 2 In the space put (n/2)’, balance (same thing added to both sides) Factor the trinomial (x + hn/2y Get (x +n/2)’ alone on one side of the = Square root both sides (don’t forget the +) Solve 9. Simplify Simplify. 1) x? +4x-12=0 SOS OS ara (eux 4 4 YEO HY 2a eo CyetX% yer) VSM Lt Cx+2) -\2=4 AAU FIR Sc +2) =Me *+2E 54 Sqye ong Sear = 2) 3x7 +10x-8=0 (3x%+10% + \-¢=0 aye US -3 Ux" +12 x eb)-% 04% > ey x + ale yyw 1/2