Solving Quadratic Equations Completing the Square

What are the roots of the quadratic equation (s - 4)² - 81 = 0?

• s = 9/2 and s = -9/2

• s = 9 and s= -9

• s = 2 and s = -2

• s = 13 and s = -5

Tags

CCSS.HSA-REI.B.4B

How many solution does a quadratic equation x² - 9 = 16 have ?

• none

• 1

• 2

• 3

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form...

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?

• Set the equation equal to zero

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

• Add a² and 10a together

• Divide both sides by 2

Tags

CCSS.HSA-REI.B.4B

Given this graph is the function of y=x^2-2x-8 , what is the solution to x^2-2x—8=0 ?

• (1, 9)
  

• x = {-2, 4}
  

• (0, 8)
  

• x = {5, 2}
  

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Solve the equation: 
5x² - 35x + 60 = 0

• x = 3,  -4

• x = -3,  4

• x = 3,  4

• x = -3,  -4

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² - 20x + 98 = 0

• x = -10 ± √2

• x = 10 ± √2

• x = 2 ± √10

• x = -2 ± √10

Tags

CCSS.HSA-REI.B.4B