Solve quadratic Equations using completing the Square

 $\left(a\ -7\right)^2$  

•  $a^2\ -14a\ +\ 49$  

•  $a^2\ -7a\ +\ 49$  

•  $a^2\ +\ 14a\ +\ 49$  

•  $a^2\ -49$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\left(x\ +\ 3\right)^2$  

•  $x^2\ +\ 3x\ +\ 15$  

•  $x^2\ +\ 9$  

•  $x^2\ -6x\ +\ 9$  

•  $x^2\ +\ 6x\ +9$  

Tags

CCSS.HSA.APR.C.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\left(2x\ +\ 1\right)^2$  

•  $4x^2\ +1$  

•  $2x^2\ +\ 2x\ +\ 1$  

•  $4x^2\ +\ 4x\ +1$  

•  $4x^2\ +\ 2x\ +\ 1$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.C.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

 $\sqrt{63}$  

•  $9\sqrt{7}$  

•  $6\sqrt{2}$  

•  $7\sqrt{6}$  

•  $3\sqrt{7}$  

Tags

CCSS.HSN.RN.A.2

 $\sqrt{96}$ 

•  $16\sqrt{6}$  

•  $2\sqrt{6}$  

•  $4\sqrt{6}$  

•  $\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

 $\sqrt{50}$  

•  $5\sqrt{2}$  

•  $\sqrt{5}$   

•  $2\sqrt{5}$  

•  $25\sqrt{2}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

 $\sqrt{243}$  

•  $3\sqrt{3}$  

•  $9\sqrt{3}$  

•  $81\sqrt{3}$  

•  $3\sqrt{81}$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

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.SSE.A.2

CCSS.HSA.SSE.B.3

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x
• the 9
• the x²

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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.A.1

CCSS.HSA.REI.B.4