quadratic functions and equations ch. 4.6 completing the square eq: how can you solve a quadratic...
TRANSCRIPT
![Page 1: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/1.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
QUADRATIC FUNCTIONS AND
EQUATIONS
Ch. 4.6Completing the Square
![Page 2: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/2.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
BELL WORK
Preview Ch. 4.6 by reading over 232-235.
Describe what you think it means to “complete the square”.
![Page 3: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/3.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
REVIEW
1. Identify the min/max, and domain/range of the function. Y = 3(x + 3)2 – 4
2. Solve by graphing. X2 + 2x – 6 = 0
![Page 4: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/4.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
COMPLETING THE SQUARE, BUT FIRST… What is an imaginary number?
An imaginary number is a number whose square is negative
What is a real number?
Informally defining, a real number is a number whose square is non-negative.
![Page 5: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/5.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
REVIEW- PERFECT SQUARE TRINOMIAL
4x2 + 16x + 16 = 0
![Page 6: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/6.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING BY FINDING SQUARE ROOTS
![Page 7: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/7.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING BY FINDING SQUARE ROOTS
![Page 8: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/8.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING BY FINDING SQUARE ROOTSNow you try…
![Page 9: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/9.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING BY FINDING SQUARE ROOTSNow you try…
![Page 10: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/10.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING A PERFECT SQUARE TRINOMIAL EQUATION
![Page 11: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/11.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING A PERFECT SQUARE TRINOMIAL EQUATION
![Page 12: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/12.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
COMPLETING THE SQUARE
![Page 13: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/13.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
COMPLETING THE SQUARENow you try…
![Page 14: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/14.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVING BY COMPLETING THE SQUARE
![Page 15: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/15.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVE BY COMPLETING THE SQUARE
X2 + 6x - 3 = 0
![Page 16: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/16.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVE BY COMPLETING THE SQUARE Now you try…
X2 – 12x + 7 = 0
![Page 17: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/17.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
SOLVE BY COMPLETING THE SQUARE Now you try…
X2 + 4x + 2 = 0
![Page 18: QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC](https://reader035.vdocuments.net/reader035/viewer/2022062804/5697bf9a1a28abf838c92238/html5/thumbnails/18.jpg)
EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.
CLOSURE
(On your bell sheet)
Explain the process of completing the square.