Difference of Two Squares Solving Quadratics

Solve

3x² - 192 = 0

• -32 or 32

• No Solution

• -8 or 8

• -64 or 64

Solve a² + 10a - 24 = 0

• a = {2, -12}

• a = {4, 6}

• a = {-12, 2}

• a = {-6, -4}

Which of the following are methods to solve quadratics (select all that apply)?

• Difference of Squares

• Completing the Square

• Square Roots

• Grouping

Factor and solve:

• (4x - 9)(4x + 9)

  x = {-9/4, 9/4}

• (2x - 3)(2x + 3)

  x = {-2/3, 3/2}

• (2x - 3)²

  x = {3/2}

• (2x + 3)²

  x = {-3/2}

Factor

25x² - 81

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Cannot be factored

(x + 3)(x - 3) ​ (a)   a difference of two squares (D.O.T.S.).

• is

• is not

(x - 3)(x + 3) ​ (a)   a difference of two squares (D.O.T.S.).

• is

• is not

(5x - 3)(5x + 3) ​ (a)   a difference of two squares (D.O.T.S.).

• is

• is not

• 10

• -10

• 1

• -1

• 0

Factor completely: 180m² - 5

• 5(36m² - 1)

• 5m(36m - 1)

• 5(6m + 1)(6m - 1)

• Prime