Solving by Completing Square and Quadratic Formula

What is the 1^st step in solving a Quadratic Equation using Completing the Square

• Divide b by 2

• Square root both sides

• Make sure the equation equals 0

• Get the variable terms on one side by themselves

Tags

CCSS.HSA-REI.B.4B

What is this formula?

• This is the speed of light formula.

• This is the quadratic formula.

• This is the zero product property.

• This is scary.

Tags

CCSS.HSA-REI.B.4B

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

x²−6x+2=0

• 6±√7

• 3±√7

• 3±√11

• 6±√11

Tags

CCSS.HSA-REI.B.4B

2x²+8x−14 = 0

• -2±√11

• 2±√11

• 2±√30

• -2±√30

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

• + 49

• - 49

• + 36

• - 36

• + 6

• - 6

• + 7

• - 7

Tags

CCSS.HSA-REI.B.4B

Kevin wants to solve the equation by completing the square. What values complete the equation?

• 8

• 64

• 16

• 4

• 256

Tags

CCSS.HSA-REI.B.4B