Solving quadratics by completing the square

Solving quadratics by completing the square

Multiple Choice

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

Multiple Choice

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

Multiple Choice

When do you use the plus or minus symbol?

±

• After taking the square root of both sides

• After adding the square to both sides

• After taking half of b

• After setting the equation equal to zero

Multiple Choice

What is one of the solutions to this equation?
(2x - 1)² = 49

• 7
• -7
• -4
• -3

Multiple Choice

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Multiple Choice

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

Multiple Choice

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

x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Multiple Choice

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

x² + 6x - 3 = 0

• $-3\pm2\sqrt{3}$

• $3\pm2\sqrt{3}$

• $12\pm\sqrt{3}$

• $-12\pm\sqrt{3}$