PreCal P.5 Solving (Quadratic) Equations

In what order would you complete these operations if you were to solve by extracting square roots?

3(x+4)² - 1 = 26

• Divide

• Subtract

• Square Root

• Add

Solve the equation by extracting square roots.

(3x + 5)² = 225

*Choose ALL that apply!!

• 10/3

• -7

• 20/3

• -20/3

• -25/3

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• 
• 
• 

• (x + 6)(x - 1)

  ÷2 ÷2

  (x + 3)(x + 1/2)

  x = -3 & x = -1/2

• (x + 6)(x - 1)

  ÷2 ÷2

  (x + 3)(x - 1/2)

  x = -3 & x = 1/2

• (x + 3)(x + 2)

  ÷2 ÷2

  (x + 3/2)(x + 1)

  x = -3 & x = -1

• (x - 3)(x - 2)

  ÷2 ÷2

  (x - 3/2)(x - 1)

  x = 3 & x = 1

• 3x² + 11x + 20 = 0

  (x - 15)(x + 4)

  ÷3 ÷3

  (x - 5)(x + 4/3)

  x = 5 & x = -4/3

• 3x² + 11x - 20 = 0

  (x + 15)(x - 4)

  ÷3 ÷3

  (x + 5)(x - 4/3)

  x = -5 & x = 4/3

• 3x² + 11 - 20 = 0

  3x² - 9 = 0

  3(x²-9) = 0

  (x + 3)(x - 3)

  x = -3 & x = 3

• 3x² + 11 - 20 = 0

  3x² - 9 = 0

  3(x²- 3) = 0

  (x + √3)(x - √3)

  x = -√3 & x = √3

• 8
• 1
• -2
• x
• 2
• -8
• 0

Tags

CCSS.HSA.REI.B.4

Tags

CCSS.HSA.REI.B.4