natethegreat150 natethegreat150
  • 18-08-2021
  • Mathematics
contestada

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Square root x + 6 - 4 = x

Respuesta :

krisdirect2u krisdirect2u
  • 18-08-2021

Answer:

-2,  (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

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