QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC...
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Transcript of QUADRATIC FUNCTIONS AND EQUATIONS Ch. 4.6 Completing the Square EQ: HOW CAN YOU SOLVE A QUADRATIC...
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
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”.
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
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
4x2 + 16x + 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 ROOTSNow 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 ROOTSNow 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 SQUARENow 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
X2 + 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…
X2 – 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…
X2 + 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.