nmiraskens nmiraskens
  • 25-11-2016
  • Mathematics
contestada

Which of the following statements follows from (x - 3)^2 = 5?

x^2 + 9 = 5
x - 3 = ±
x - 3 = ±25

Respuesta :

anouar
anouar anouar
  • 25-11-2016
x^2-6x+9=5
(x-3)(x-3)=5
(x-3)=5
x
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MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 26-11-2016
Expand the equation by multiplying it with itself: (x-3)*(x-3)

x^2 - 3x - 3x + 9 = 5
x^2 - 6x + 9 = 5
x^2 -6x +4 = 0

Since this is not part of the choices, try a different approach. Take the square root of both sides:

x - 3 = square root of 5
x - 3 = +/- 2.24

I guess this is the middle term which is incomplete. The first and last choices are not equivalent to the given equation.
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