2.4 Completing the Square Objective: To complete a
Description: 2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square Main step in order to complete the square 1.) You will get an expression that looks like this: AX² BX 2.) Our goal is to
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slide1. 2.4 Completing the Square Objective: To complete a square for a quadratic equation and solve by completing the square<br>
slide2. Main step in order to complete the square 1.) You will get an expression that looks like this:
AX²+ BX
2.) Our goal is to make a square such that we have
(a + b)² = a² +2ab + b²
3.) We take ½ of the X coefficient or b
(Divide the number in front of the X by 2)
4.) Then square that number<br>
slide3. To Complete the Square x2 + 6x Take ½ the coefficient of ‘x’ or b/2
Square it and add it 3 9 x2 + 6x + 9 = (x + 3)2<br>
slide4. Complete the square, and show what the perfect square is:<br>
slide5. To solve by completing the square If a quadratic equation does not factor we can solve it by two different methods
1.) Completing the Square (today’s lesson)
2.) Quadratic Formula (tommorrow’s lesson)<br>
slide6. Steps to solve by completing the square 2.) If the quadratic does not factor, move the
constant to the other side of the equation
Ex: x²-4x -7 =0 x²-4x=7
3.) Work with the x²+ x side of the equation and
complete the square by taking ½ of the coefficient
of x and squaring Ex. x² -4x 4/2= 2²=4
4.) Add the number you got to complete the square to
both sides of the equation
Ex: x² -4x +4 = 7 +4
5.)Simplify your trinomial square Ex: (x-2)² =11
6.)Take the square root of both sides of the equation
Ex: x-2 =±√11
7.) Solve for x Ex: x=2±√11<br>
slide7. Solve by Completing the Square<br>
slide8. Solve by Completing the Square<br>
slide9. Solve by Completing the Square<br>
slide10. Solve by Completing the Square<br>
slide11. Solve by Completing the Square<br>
slide12. Solve by Completing the Square<br>
slide13. The coefficient of x2 must be “1”<br>
slide14. The coefficient of x2 must be “1”<br>
slide2. Main step in order to complete the square 1.) You will get an expression that looks like this:
AX²+ BX
2.) Our goal is to make a square such that we have
(a + b)² = a² +2ab + b²
3.) We take ½ of the X coefficient or b
(Divide the number in front of the X by 2)
4.) Then square that number<br>
slide3. To Complete the Square x2 + 6x Take ½ the coefficient of ‘x’ or b/2
Square it and add it 3 9 x2 + 6x + 9 = (x + 3)2<br>
slide4. Complete the square, and show what the perfect square is:<br>
slide5. To solve by completing the square If a quadratic equation does not factor we can solve it by two different methods
1.) Completing the Square (today’s lesson)
2.) Quadratic Formula (tommorrow’s lesson)<br>
slide6. Steps to solve by completing the square 2.) If the quadratic does not factor, move the
constant to the other side of the equation
Ex: x²-4x -7 =0 x²-4x=7
3.) Work with the x²+ x side of the equation and
complete the square by taking ½ of the coefficient
of x and squaring Ex. x² -4x 4/2= 2²=4
4.) Add the number you got to complete the square to
both sides of the equation
Ex: x² -4x +4 = 7 +4
5.)Simplify your trinomial square Ex: (x-2)² =11
6.)Take the square root of both sides of the equation
Ex: x-2 =±√11
7.) Solve for x Ex: x=2±√11<br>
slide7. Solve by Completing the Square<br>
slide8. Solve by Completing the Square<br>
slide9. Solve by Completing the Square<br>
slide10. Solve by Completing the Square<br>
slide11. Solve by Completing the Square<br>
slide12. Solve by Completing the Square<br>
slide13. The coefficient of x2 must be “1”<br>
slide14. The coefficient of x2 must be “1”<br>