Solve by Completing the Square Practice

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}

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• There is no error

The work above shows the first two steps to solve by completing the square. Which description correctly describes the error that was made?

• They needed to add -1 to both sides.

• They needed to factor out the 2 so a = 1.

• They needed to take the square root of 4 first.

• They needed to add 4 to both sides.

Which line contains a mathematical error when completing the square?

• Line 1

• Line 2

• Line 3

• Line 4

• Line 5

Solve the following quadratic equation by completing the square:

2x² -3x = -4

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Mr. Jones wants to solve the quadratic equation by completing the square. What values will go in the Box A and Box B? Write the values in the boxes.

• Box A = 4

  Box B = 4

• Box A = 16

  Box B = 16

• Box A = 4

  Box B = 16

• Box A = 8

  Box B = 64

• Box A = 8

  Box B = 16

What is the correct order for solving quadratic equations by completing the square.

• Move the constant to the right side.

• Factor the perfect square trinomial

• Write two equations and solve

Complete the square for: v² - 18v + 87 = 7

• (v + 9)² - 1

• (v + 9)² + 1

• (v - 9)² - 1

• (v - 9)² + 1

Mr. Jones wants to solve the quadratic equation by completing the square. What values will go in the Box A and Box B? Write the values in the boxes.

• Box A = 4

  Box B = 4

• Box A = 16

  Box B = 16

• Box A = 4

  Box B = 16

• Box A = 8

  Box B = 64

• Box A = 8

  Box B = 16

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