Completing the Square and the Quadratic Formula

Which equation shows  $x^2+8x+9=0$  after the method of completing the square has been applied?

•  $\left(x+2\right)^2=-5$  

•  $\left(x+4\right)^2=7$  

•  $\left(x+8\right)^2=55$  

•  $x^2=-\left(8x+9\right)$  

Tags

CCSS.HSA-REI.B.4B

When $2x^2-20x+49=19$   is written in the form  $\left(x-p\right)^2=q$   , what is the value of  $q$  ?

• 19

• 10

• 5

• -30

Tags

CCSS.HSA-REI.B.4B

 $2x^2+3x-4=0$  When the quadratic formula is applied to , what is the numerator of the simplified answer?

•  $3\pm\sqrt{41}$  

•  $-3\pm\sqrt{41}$  

•  $3\pm\sqrt{38}$  

•  $-3\pm\sqrt{-23}$  

Tags

CCSS.HSA-REI.B.4B

Solve  $x^2+10x=39$  .

•  $x=-5\pm\sqrt{14}$  

•  $x=-3\ or\ 13$  

•  $x\ =\ 3\ or\ -13$  

•  $x=5\pm\sqrt{14}$  

Tags

CCSS.HSA-REI.B.4B

Find the zeros of  $f\left(x\right)=x^2+7x+9$  .

•  $x=-7\pm\sqrt{13}$  

•  $x=\frac{-7\pm\sqrt{13}}{2}$  

•  $x=\frac{3\pm\sqrt{7}}{2}$  

•  $x=3\pm\sqrt{7}$  

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

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Tags

CCSS.HSA-REI.B.4B

What is the discriminant of -2x² − x − 1 = 0

• 76

• -7

• 9

• none of these

Tags

CCSS.HSA-REI.B.4B

If the discriminant is positive, then the solution will be

• one real solution

• two real solutions

• no real solutions

• one imaginary solution

Tags

CCSS.HSA-REI.B.4B