leslieburcigla leslieburcigla
  • 23-08-2020
  • Mathematics
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Trig: Solve Quadratic Equations by Factoring help with 3c and 3d

Trig Solve Quadratic Equations by Factoring help with 3c and 3d class=

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mhanifa
mhanifa mhanifa
  • 23-08-2020

Answer:

3c) x = 1/4, x = 6

3d) t = 0, t = 4

Step-by-step explanation:

3c).....................................

  • 6x² - 15x + 2 = 2x² + 10x - 4
  • 4x² -25x + 6 = 0
  • 4x² - 24x - (x - 6) = 0
  • 4x(x -6) - (x - 6) = 0
  • (4x - 1)(x - 6) =0
  • 4x - 1 = 0 ⇒ 4x = 1 ⇒ x = 1/4
  • x - 6 = 0 ⇒ x = 6

==============================

3d).....................................

  • - 16t² + 76t + 5 = 12t + 5
  • -16t² + 64t = 0
  • t² - 4t = 0
  • t(t - 4) = 0
  • t = 0
  • t - 4 = 0 ⇒ t = 4
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