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.

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Presentation transcript:

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 EQUATIONS BY COMPLETING THE SQUARE.

BELL WORK Preview Ch. 4.6 by reading over Describe what you think it means to “complete the square”. 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. X 2 + 2x – 6 = 0 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. 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 4x x + 16 = 0 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 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 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 Now you try… 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 Now you try… 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 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 EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.

COMPLETING THE SQUARE EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.

COMPLETING THE SQUARE Now you try… 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 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 X 2 + 6x - 3 = 0 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… X 2 – 12x + 7 = 0 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… X 2 + 4x + 2 = 0 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. EQ: HOW CAN YOU SOLVE A QUADRATIC EQUATION BY COMPLETING THE SQUARE? I WILL SOLVE QUADRATIC EQUATIONS BY COMPLETING THE SQUARE.