2. Questions on Classwork and Homework form yesterday. 4. Completing the square to solve quadratic

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1 1. Warm -up word problem - 2. Questions on Classwork and Homework form yesterday 3. Number Sense. 4. Completing the square to solve quadratic equations 1

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8 factors of 72 are 36 and 2 36 is a perfect square Remember when simplifying radicals you try to factor out the largest perfect square 8

9 Radicals can also be added and subtracted if they have the same radicand (number under the square root symbol). The first step is to simplify all the terms. 9

10 Radicals can not be in the denominator of fractions. So we multipy by a version of one to eliminate that possiblity Square root times square root makes radical go away 10

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18 No real solutions In algebra 2 you will solve these 18

19 Slight Difference Find out GCF then use the zero product property 19

20 More Questions? 20

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24 Square roots can be used to solve most quadratic equations. However, they are not always the easiest or faster method. To solve using square root we can use a method called completing the square. Completing the square require several side calculations. You must write them down to learn this method. 24

25 First some examples of what we are trying to accomplish. 25

26 First some examples of what we are trying to accomplish. 26

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28 Sometimes the equations do not look like the previous example. you need a perfect square on the left side of the equation and a number on the right side of the equation. Sometimes expressions can not be factored By completing the square you make your equation fit the pattern so you can solve any quadratic equation. but first some number practice 28

29 Remember the Standard form of a quadratic equation is ax 2 +bx+c=0 29

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31 1. Move the c 2. Divide by a 3. divide the coefficient of the x term by 2 4. square the result 5. add it to both sides of the equation 6. factor the left side it will alway be a perfect square with b/2. 7. solve Apr 11 7:51 AM 31

32 a =1 x 2 +4x+6=0 b=4 c=6 32

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35 1. Move the c 2. Divide by a 3. divide the coefficient of the x te by 2 4. square the result 5. add it to both sides of the equati 6. factor the left side it will alway be a perfect square with b/2. 7. solve 35

36 x 2 +8x+7=0 a =1 b=8 c=7 36

37 1. Move the c 2. Divide by a 3. divide the coefficient of the x term by 2 4. square the result 5. add it to both sides of the equation 6. factor the left side it will alway be a perfect square with b/2. 7. solve 37

38 2x 2 +6x-10=0 a =2 b=6 c=-10 38

39 1. Move the c 2. Divide by a 3. divide the coefficient of the x term by 2 4. square the result 5. add it to both sides of the equation 6. factor the left side it will alway be a perfect square with b/2. 7. solve 39

40 3x 2-12x+9=0 a =3 b=-12 c=-9 40

41 1. Move the c 2. Divide by a 3. divide the coefficient of the x term by 2 4. square the result 5. add it to both sides of the equation 6. factor the left side it will alway be a perfect square with b/2. 7. solve 41

42 1. Move the c 2. Divide by a 3. divide the coefficient of the x term by 2 4. square the result 5. add it to both sides of the equation 6. factor the left side it will alway be a perfect square with b/2. 7. solve 42

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