Completing The Square

What is the formula of calculate the new C-term

• C = $\frac{b}{2}$

• C = $\frac{-b}{2a}$

• C = $\left(\frac{b}{2}\right)^2$

• C = $\left(\frac{b}{4}\right)^2$

Tags

CCSS.HSA-REI.B.4B

What is the first step to solve this quadratic equation by completing the square?  $x^2-10x+21\ =\ 0$  

• Set the equation equal to zero

• Add  $x^2$  and  $10x$  together

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

• Subtract the 21 from  both sides

Tags

CCSS.HSA-REI.B.4B

What did you need to add to both sides to complete the square?

  $x^2-12x+_{ }$  ___ =  20 + ___

• 6

• 36

• 10

• 144

Tags

CCSS.HSA-REI.B.4B

Find the missing value "c" to complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Tags

CCSS.HSA-REI.B.4B

Solve By Completing The Square

x² +12x = 5

• X = 6 + √41 & 6 − √41

• X= 35 & -35

• X = −6 + √41 & −6 − √41

• X = √35

Solve By Completing the Square

x² + 6x = 5

• (x + 3)² = 5

• $x=3+\sqrt{14},\ x=3-\sqrt{14}$

• $x=-3+\sqrt{14\ },\ x=-3-\sqrt{14}$

• (x + 6)² = 14