AvailableName
AvailableName AvailableName
  • 21-04-2020
  • Mathematics
contestada

Solve for X please

[tex] \sqrt{18 + x} = x - 2[/tex]
​

Respuesta :

altavistard
altavistard altavistard
  • 21-04-2020

Answer:

{-2, 7}

Step-by-step explanation:

Square both sides of this equation.  We get:

18 + x = x^2 - 4x + 4, which, in turn, simplifies to

x^2 - 5x - 14 = 0.

Note that 2 - 7 = -5 and that 2(-7) = -14.

Then x^2 - 5x - 14 = 0  => (x -7)(x + 2) = 0, which gives us the solutions -2 and 7.

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