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Completing the Square

Mathematics

11th Grade

Used 4+ times

Completing the Square
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22 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When solving by completing the square, what would be the first step?

 x2=116xx^2=11-6x  

Set the equation equal to zero 

Divide the -6 by 2 and square it

Move the -6x to the other side, put "x" terms together on one side

Find factors of 11 that add to 6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the equation

 x2+4x+5=0x^2+4x+5=0  

 x={1, 5}x=\left\{-1,\ -5\right\}  

 x=2±ix=2\pm i  

 x=2±ix=-2\pm i  

 x=2±3ix=-2\pm3i  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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}

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve by completing the square. Round.
x2 -4x = 5

11 and -7
1 and 3
1.73 and -1.73
5 and -1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve by completing the square.
 x212x+20=0x^2-12x+20=0  

 x={2, 10}x=\left\{2,\ 10\right\}  

 x={10, 2}x=\left\{-10,\ -2\right\}  

 x={12, 20}x=\left\{-12,\ 20\right\}  

 x={12, 20}x=\left\{12,\ 20\right\}  

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve by completing the square.
 x24x20=0x^2-4x-20=0  

 x={±622}x=\left\{\pm6\sqrt{2}-2\right\}  

 x={±62+2}x=\left\{\pm6\sqrt{2}+2\right\}  

 x={±26+2}x=\left\{\pm2\sqrt{6}+2\right\}  

 x={±262}x=\left\{\pm2\sqrt{6}-2\right\}  

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