Solving Quadratic Equations by Completing the Square Lesson

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

a² + 10a + 21 = 0

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

• Subtract the 21

• Set the equation equal to zero

• Add a² and 10a together

What do you do to the b value to correctly complete the square?

• divide it by 2 and square the result

• square it

• divide it by 2 only

• divide it by 2 and take the square root of the result

What is one of the solutions to this equation?

(2x - 1)² = 49

• 7

• -7

• -3

• -4

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

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 6)² = 14

• (x + 3)² = 14

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

x² + 4x + 10

• (x + 2)² + 6

• (x + 4)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

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

x² + 6x - 3 = 0

Solve by completing the square.

x² + 4x= 12

• x = 1 and -1

• x = 6 and -2

• x = 2 and -2

• x = -6 and 2

Solve by completing the square.

x² − 10x - 11= 0

• x = −10 and 11

• x = −1 and 11

• x = −5 and 25

• x = 1 and −11

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

x² + 4x + 1 = 0

• x = -3 ± √2

• x = 2 ± √2

• x = -2 ± √3

• x = 2 ± √3

Solve the equation:

5x² - 35x + 60 = 0

• x = 3, 4

• x = -3, -4

• x = -3, 4

• x = 3, -4