TalaZakiAdnan TalaZakiAdnan
  • 03-10-2020
  • Mathematics
contestada

solve by completing the square: -14 + x^2 = 5x

Respuesta :

mhanifa
mhanifa mhanifa
  • 03-10-2020

Answer:

  • x = 7, x = -2

Step-by-step explanation:

Solving by completing square

  • -14 + x^2 = 5x
  • x^2 - 5x - 14 = 0
  • x^2 -2*2.5x + 6.25 - 20.25 = 0
  • (x -2.5)^2 = 20.25
  • (x - 2.5)^2 = 4.5^2
  1. x - 2.5 = 4.5 ⇒ x = 7
  2. x - 2.5 = -4.5 ⇒ x = -2
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